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104191932 = 223132371409
BaseRepresentation
bin1100011010111…
…01011110111100
321021001111110110
412031131132330
5203133120212
614201110020
72403421365
oct615353674
9237044413
10104191932
11538a4a39
122aa88310
1318780840
14dba2b6c
159231a3c
hex635d7bc

104191932 has 96 divisors (see below), whose sum is σ = 277724160. Its totient is φ = 30159360.

The previous prime is 104191931. The next prime is 104191949. The reversal of 104191932 is 239191401.

It is a self number, because there is not a number n which added to its sum of digits gives 104191932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104191931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254544 + ... + 254952.

It is an arithmetic number, because the mean of its divisors is an integer number (2892960).

Almost surely, 2104191932 is an apocalyptic number.

104191932 is a gapful number since it is divisible by the number (12) 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 104191932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

104191932 is an abundant number, since it is smaller than the sum of its proper divisors (173532228).

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

104191932 is a wasteful number, since it uses less digits than its factorization.

104191932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 104191932 is about 10207.4449300498. Note that the first 3 decimals coincide. The cubic root of 104191932 is about 470.5560523077.

The spelling of 104191932 in words is "one hundred four million, one hundred ninety-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 71 78 92 138 142 156 213 276 284 299 409 426 598 818 852 897 923 1196 1227 1633 1636 1794 1846 2454 2769 3266 3588 3692 4899 4908 5317 5538 6532 9407 9798 10634 11076 15951 18814 19596 21229 21268 28221 29039 31902 37628 42458 56442 58078 63687 63804 84916 87117 112884 116156 122291 127374 174234 244582 254748 348468 366873 377507 489164 667897 733746 755014 1132521 1335794 1467492 1510028 2003691 2265042 2671588 4007382 4530084 8014764 8682661 17365322 26047983 34730644 52095966 104191932