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115940448 = 253213173179
BaseRepresentation
bin1101110100100…
…01110001100000
322002011101101200
412322101301200
5214140043243
615301001200
72605322541
oct672216140
9262141350
10115940448
115a499858
12329b3200
131b035220
14115804c8
15a2a2ad3
hex6e91c60

115940448 has 144 divisors (see below), whose sum is σ = 359115120. Its totient is φ = 35269632.

The previous prime is 115940441. The next prime is 115940449. The reversal of 115940448 is 844049511.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115940441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647623 + ... + 647801.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 2115940448 is an apocalyptic number.

115940448 is a gapful number since it is divisible by the number (18) 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 115940448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179557560).

115940448 is an abundant number, since it is smaller than the sum of its proper divisors (243174672).

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

115940448 is a wasteful number, since it uses less digits than its factorization.

115940448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 115940448 is about 10767.5646271569. The cubic root of 115940448 is about 487.6164234759.

Adding to 115940448 its reverse (844049511), we get a palindrome (959989959).

The spelling of 115940448 in words is "one hundred fifteen million, nine hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 173 179 208 234 288 312 346 358 416 468 519 537 624 692 716 936 1038 1074 1248 1384 1432 1557 1611 1872 2076 2148 2249 2327 2768 2864 3114 3222 3744 4152 4296 4498 4654 5536 5728 6228 6444 6747 6981 8304 8592 8996 9308 12456 12888 13494 13962 16608 17184 17992 18616 20241 20943 24912 25776 26988 27924 30967 35984 37232 40482 41886 49824 51552 53976 55848 61934 71968 74464 80964 83772 92901 107952 111696 123868 161928 167544 185802 215904 223392 247736 278703 323856 335088 371604 402571 495472 557406 647712 670176 743208 805142 990944 1114812 1207713 1486416 1610284 2229624 2415426 2972832 3220568 3623139 4459248 4830852 6441136 7246278 8918496 9661704 12882272 14492556 19323408 28985112 38646816 57970224 115940448