Search a number
-
+
1030230180 = 223257899187
BaseRepresentation
bin111101011010000…
…001000010100100
32122210120010010100
4331122001002210
54102214331210
6250121224100
734346545350
oct7532010244
92583503110
101030230180
114895a1201
12249032030
13135592b75
149ab7a460
15606a35c0
hex3d6810a4

1030230180 has 144 divisors (see below), whose sum is σ = 3611986560. Its totient is φ = 232809984.

The previous prime is 1030230169. The next prime is 1030230203. The reversal of 1030230180 is 810320301.

It is a super-2 number, since 2×10302301802 = 2122748447565664800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107547 + ... + 116733.

It is an arithmetic number, because the mean of its divisors is an integer number (25083240).

Almost surely, 21030230180 is an apocalyptic number.

1030230180 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 1030230180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805993280).

1030230180 is an abundant number, since it is smaller than the sum of its proper divisors (2581756380).

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

1030230180 is a wasteful number, since it uses less digits than its factorization.

1030230180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9298 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1030230180 is about 32097.1989432100. The cubic root of 1030230180 is about 1009.9768579477.

Adding to 1030230180 its reverse (810320301), we get a palindrome (1840550481).

The spelling of 1030230180 in words is "one billion, thirty million, two hundred thirty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 420 445 534 623 630 801 890 1068 1246 1260 1335 1602 1780 1869 2492 2670 3115 3204 3738 4005 5340 5607 6230 7476 8010 9187 9345 11214 12460 16020 18374 18690 22428 27561 28035 36748 37380 45935 55122 56070 64309 82683 91870 110244 112140 128618 137805 165366 183740 192927 257236 275610 321545 330732 385854 413415 551220 578781 643090 771708 817643 826830 964635 1157562 1286180 1635286 1653660 1929270 2315124 2452929 2893905 3270572 3858540 4088215 4905858 5723501 5787810 7358787 8176430 9811716 11447002 11575620 12264645 14717574 16352860 17170503 22894004 24529290 28617505 29435148 34341006 36793935 49058580 51511509 57235010 68682012 73587870 85852515 103023018 114470020 147175740 171705030 206046036 257557545 343410060 515115090 1030230180