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132115456 = 2101137317
BaseRepresentation
bin1111101111111…
…10110000000000
3100012121011100001
413313332300000
5232310143311
621035405344
73162651154
oct767766000
9305534301
10132115456
1168637330
12382b3854
13214a9635
1413791064
15b8ea4c1
hex7dfec00

132115456 has 88 divisors (see below), whose sum is σ = 296831376. Its totient is φ = 58245120.

The previous prime is 132115453. The next prime is 132115471. The reversal of 132115456 is 654511231.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (132115453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416610 + ... + 416926.

Almost surely, 2132115456 is an apocalyptic number.

132115456 is a gapful number since it is divisible by the number (16) 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 132115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148415688).

132115456 is an abundant number, since it is smaller than the sum of its proper divisors (164715920).

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

132115456 is a wasteful number, since it uses less digits than its factorization.

132115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 132115456 is about 11494.1487723102. The cubic root of 132115456 is about 509.3127433968.

Adding to 132115456 its reverse (654511231), we get a palindrome (786626687).

The spelling of 132115456 in words is "one hundred thirty-two million, one hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 317 352 407 512 592 634 704 814 1024 1184 1268 1408 1628 2368 2536 2816 3256 3487 4736 5072 5632 6512 6974 9472 10144 11264 11729 13024 13948 18944 20288 23458 26048 27896 37888 40576 46916 52096 55792 81152 93832 104192 111584 129019 162304 187664 208384 223168 258038 324608 375328 416768 446336 516076 750656 892672 1032152 1501312 1785344 2064304 3002624 3570688 4128608 6005248 8257216 12010496 16514432 33028864 66057728 132115456