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115093836 = 2232111379283
BaseRepresentation
bin1101101110000…
…11000101001100
322000120101001200
412313003011030
5213431000321
615230505500
72565165354
oct667030514
9260511050
10115093836
1159a70780
1232665290
131aac9a80
14113ddb64
15a186d26
hex6dc314c

115093836 has 144 divisors (see below), whose sum is σ = 347343360. Its totient is φ = 31674240.

The previous prime is 115093789. The next prime is 115093879. The reversal of 115093836 is 638390511.

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 115093836.

It is a congruent number.

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, 406551 + ... + 406833.

Almost surely, 2115093836 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 115093836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173671680).

115093836 is an abundant number, since it is smaller than the sum of its proper divisors (232249524).

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

115093836 is a wasteful number, since it uses less digits than its factorization.

115093836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 115093836 is about 10728.1795286992. The cubic root of 115093836 is about 486.4266435930.

The spelling of 115093836 in words is "one hundred fifteen million, ninety-three thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 79 99 117 132 143 156 158 198 234 237 283 286 316 396 429 468 474 566 572 711 849 858 869 948 1027 1132 1287 1422 1698 1716 1738 2054 2547 2574 2607 2844 3081 3113 3396 3476 3679 4108 5094 5148 5214 6162 6226 7358 7821 9243 9339 10188 10428 11037 11297 12324 12452 14716 15642 18486 18678 22074 22357 22594 28017 31284 33111 33891 36972 37356 40469 44148 44714 45188 56034 66222 67071 67782 80938 89428 101673 112068 121407 132444 134142 135564 161876 201213 203346 242814 245927 268284 290641 364221 402426 406692 485628 491854 581282 728442 737781 804852 871923 983708 1162564 1456884 1475562 1743846 2213343 2615769 2951124 3197051 3487692 4426686 5231538 6394102 8853372 9591153 10463076 12788204 19182306 28773459 38364612 57546918 115093836