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1023156640 = 255112411289
BaseRepresentation
bin111100111111000…
…010000110100000
32122022020202001101
4330333002012200
54043412003030
6245305444144
734232454652
oct7477020640
92568222041
101023156640
114855aa800
122467a0654
13133c8733c
1499c586d2
155ec577ca
hex3cfc21a0

1023156640 has 144 divisors (see below), whose sum is σ = 2723845320. Its totient is φ = 362700800.

The previous prime is 1023156559. The next prime is 1023156649. The reversal of 1023156640 is 466513201.

It can be written as a sum of positive squares in 4 ways, for example, as 718025616 + 305131024 = 26796^2 + 17468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1023156599 and 1023156608.

It is not an unprimeable number, because it can be changed into a prime (1023156649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793116 + ... + 794404.

Almost surely, 21023156640 is an apocalyptic number.

1023156640 is a gapful number since it is divisible by the number (10) 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 1023156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361922660).

1023156640 is an abundant number, since it is smaller than the sum of its proper divisors (1700688680).

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

1023156640 is a wasteful number, since it uses less digits than its factorization.

1023156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1023156640 is about 31986.8197856555. The cubic root of 1023156640 is about 1007.6600537550.

Adding to 1023156640 its reverse (466513201), we get a palindrome (1489669841).

The spelling of 1023156640 in words is "one billion, twenty-three million, one hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 121 160 164 176 205 220 242 328 352 410 440 451 484 605 656 820 880 902 968 1210 1289 1312 1640 1760 1804 1936 2255 2420 2578 3280 3608 3872 4510 4840 4961 5156 6445 6560 7216 9020 9680 9922 10312 12890 14179 14432 18040 19360 19844 20624 24805 25780 28358 36080 39688 41248 49610 51560 52849 56716 70895 72160 79376 99220 103120 105698 113432 141790 155969 158752 198440 206240 211396 226864 264245 283580 311938 396880 422792 453728 528490 567160 581339 623876 779845 793760 845584 1056980 1134320 1162678 1247752 1559690 1691168 2113960 2268640 2325356 2495504 2906695 3119380 4227920 4650712 4991008 5813390 6238760 6394729 8455840 9301424 11626780 12477520 12789458 18602848 23253560 24955040 25578916 31973645 46507120 51157832 63947290 93014240 102315664 127894580 204631328 255789160 511578320 1023156640