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130932936 = 23343743127
BaseRepresentation
bin1111100110111…
…10000011001000
3100010101002020000
413303132003020
5232004323221
620554203000
73146624451
oct763360310
9303332200
10130932936
11679a9942
1237a23460
1321184314
1413564128
15b764e26
hex7cde0c8

130932936 has 160 divisors (see below), whose sum is σ = 388439040. Its totient is φ = 41150592.

The previous prime is 130932931. The next prime is 130932947. The reversal of 130932936 is 639239031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130932936.

It is not an unprimeable number, because it can be changed into a prime (130932931) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1030905 + ... + 1031031.

It is an arithmetic number, because the mean of its divisors is an integer number (2427744).

Almost surely, 2130932936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130932936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194219520).

130932936 is an abundant number, since it is smaller than the sum of its proper divisors (257506104).

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

130932936 is a wasteful number, since it uses less digits than its factorization.

130932936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 130932936 is about 11442.5930627634. The cubic root of 130932936 is about 507.7886259722.

The spelling of 130932936 in words is "one hundred thirty million, nine hundred thirty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 43 54 72 74 81 86 108 111 127 129 148 162 172 216 222 254 258 296 324 333 344 381 387 444 508 516 648 666 762 774 888 999 1016 1032 1143 1161 1332 1524 1548 1591 1998 2286 2322 2664 2997 3048 3096 3182 3429 3483 3996 4572 4644 4699 4773 5461 5994 6364 6858 6966 7992 9144 9288 9398 9546 10287 10922 11988 12728 13716 13932 14097 14319 16383 18796 19092 20574 21844 23976 27432 27864 28194 28638 32766 37592 38184 41148 42291 42957 43688 49149 56388 57276 65532 82296 84582 85914 98298 112776 114552 126873 128871 131064 147447 169164 171828 196596 202057 253746 257742 294894 338328 343656 380619 393192 404114 442341 507492 515484 589788 606171 761238 808228 884682 1014984 1030968 1179576 1212342 1522476 1616456 1769364 1818513 2424684 3044952 3538728 3637026 4849368 5455539 7274052 10911078 14548104 16366617 21822156 32733234 43644312 65466468 130932936