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1030150656 = 2933431733
BaseRepresentation
bin111101011001101…
…101101000000000
32122210102002001000
4331121231220000
54102204310111
6250115412000
734346064453
oct7531555000
92583362030
101030150656
11489547487
12248bb4000
13135565902
149ab5949a
1560689c56
hex3d66da00

1030150656 has 160 divisors (see below), whose sum is σ = 3122032320. Its totient is φ = 335204352.

The previous prime is 1030150651. The next prime is 1030150691. The reversal of 1030150656 is 6560510301.

It is a happy number.

1030150656 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 5 + 0 + 656 = 666.

It is a super-2 number, since 2×10301506562 = 2122420748114460672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1030150651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593566 + ... + 595298.

It is an arithmetic number, because the mean of its divisors is an integer number (19512702).

Almost surely, 21030150656 is an apocalyptic number.

1030150656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561016160).

1030150656 is an abundant number, since it is smaller than the sum of its proper divisors (2091881664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1030150656 is an equidigital number, since it uses as much as digits as its factorization.

1030150656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1030150656 is about 32095.9601196163. The cubic root of 1030150656 is about 1009.9508704005.

Adding to 1030150656 its reverse (6560510301), we get a palindrome (7590660957).

The spelling of 1030150656 in words is "one billion, thirty million, one hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 344 384 387 432 512 516 576 688 768 774 864 1032 1152 1161 1376 1536 1548 1728 1733 2064 2304 2322 2752 3096 3456 3466 4128 4608 4644 5199 5504 6192 6912 6932 8256 9288 10398 11008 12384 13824 13864 15597 16512 18576 20796 22016 24768 27728 31194 33024 37152 41592 46791 49536 55456 62388 66048 74304 74519 83184 93582 99072 110912 124776 148608 149038 166368 187164 198144 221824 223557 249552 297216 298076 332736 374328 443648 447114 499104 594432 596152 665472 670671 748656 887296 894228 998208 1192304 1330944 1341342 1497312 1788456 1996416 2012013 2384608 2661888 2682684 2994624 3576912 3992832 4024026 4769216 5365368 5989248 7153824 7985664 8048052 9538432 10730736 11978496 14307648 16096104 19076864 21461472 23956992 28615296 32192208 38153728 42922944 57230592 64384416 85845888 114461184 128768832 171691776 257537664 343383552 515075328 1030150656