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31420032 = 273711689
BaseRepresentation
bin111011111011…
…0111010000000
32012010022011220
41313312322000
531020420112
63041235040
7531031410
oct167667200
965108156
1031420032
1116810376
12a632a80
136681447
14425c640
152b5998c
hex1df6e80

31420032 has 64 divisors (see below), whose sum is σ = 95390400. Its totient is φ = 8976384.

The previous prime is 31420027. The next prime is 31420033. The reversal of 31420032 is 23002413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 31419993 and 31420020.

It is not an unprimeable number, because it can be changed into a prime (31420033) 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, 3157 + ... + 8532.

It is an arithmetic number, because the mean of its divisors is an integer number (1490475).

Almost surely, 231420032 is an apocalyptic number.

31420032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31420032 is an abundant number, since it is smaller than the sum of its proper divisors (63970368).

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

31420032 is a wasteful number, since it uses less digits than its factorization.

31420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11713 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 31420032 is about 5605.3574373094. The cubic root of 31420032 is about 315.5505012158.

Adding to 31420032 its reverse (23002413), we get a palindrome (54422445).

It can be divided in two parts, 3 and 1420032, that multiplied together give a square (4260096 = 20642).

The spelling of 31420032 in words is "thirty-one million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 11689 23378 35067 46756 70134 81823 93512 140268 163646 187024 245469 280536 327292 374048 490938 561072 654584 748096 981876 1122144 1309168 1496192 1963752 2244288 2618336 3927504 4488576 5236672 7855008 10473344 15710016 31420032