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23690540580 = 22357233723911
BaseRepresentation
bin10110000100000100…
…001111011000100100
32021011000221011011220
4112010010033120210
5342004234244310
614514442300340
71466034162300
oct260404173044
967130834156
1023690540580
11a057768863
124711ab76b0
132307168a65
14120a4c2d00
15939c64670
hex58410f624

23690540580 has 144 divisors (see below), whose sum is σ = 77395683456. Its totient is φ = 5398686720.

The previous prime is 23690540579. The next prime is 23690540609. The reversal of 23690540580 is 8504509632.

It is a super-2 number, since 2×236905405802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978825 + ... + 1002735.

It is an arithmetic number, because the mean of its divisors is an integer number (537470024).

Almost surely, 223690540580 is an apocalyptic number.

23690540580 is a gapful number since it is divisible by the number (20) 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 23690540580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38697841728).

23690540580 is an abundant number, since it is smaller than the sum of its proper divisors (53705142876).

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

23690540580 is a wasteful number, since it uses less digits than its factorization.

23690540580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24274 (or 24265 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 23690540580 in words is "twenty-three billion, six hundred ninety million, five hundred forty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 337 420 490 588 674 735 980 1011 1348 1470 1685 2022 2359 2940 3370 4044 4718 5055 6740 7077 9436 10110 11795 14154 16513 20220 23590 23911 28308 33026 35385 47180 47822 49539 66052 70770 71733 82565 95644 99078 119555 141540 143466 165130 167377 198156 239110 247695 286932 330260 334754 358665 478220 495390 502131 669508 717330 836885 990780 1004262 1171639 1434660 1673770 2008524 2343278 2510655 3347540 3514917 4686556 5021310 5858195 7029834 8058007 10042620 11716390 14059668 16116014 17574585 23432780 24174021 32232028 35149170 40290035 48348042 56406049 70298340 80580070 96696084 112812098 120870105 161160140 169218147 225624196 241740210 282030245 338436294 394842343 483480420 564060490 676872588 789684686 846090735 1128120980 1184527029 1579369372 1692181470 1974211715 2369054058 3384362940 3948423430 4738108116 5922635145 7896846860 11845270290 23690540580