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31396320 = 2532521803
BaseRepresentation
bin111011111000…
…1000111100000
32012002002122200
41313301013200
531014140240
63040533200
7530602314
oct167610740
965062580
1031396320
11167a457a
12a621200
136673707
144253b44
152b52930
hex1df11e0

31396320 has 72 divisors (see below), whose sum is σ = 107144856. Its totient is φ = 8371968.

The previous prime is 31396307. The next prime is 31396333. The reversal of 31396320 is 2369313.

It is an interprime number because it is at equal distance from previous prime (31396307) and next prime (31396333).

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 9462 + ... + 12341.

It is an arithmetic number, because the mean of its divisors is an integer number (1488123).

Almost surely, 231396320 is an apocalyptic number.

31396320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31396320 is an abundant number, since it is smaller than the sum of its proper divisors (75748536).

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

31396320 is a wasteful number, since it uses less digits than its factorization.

31396320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21824 (or 21813 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 31396320 is about 5603.2419187467. The cubic root of 31396320 is about 315.4711015882.

The spelling of 31396320 in words is "thirty-one million, three hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 21803 43606 65409 87212 109015 130818 174424 196227 218030 261636 327045 348848 392454 436060 523272 654090 697696 784908 872120 981135 1046544 1308180 1569816 1744240 1962270 2093088 2616360 3139632 3488480 3924540 5232720 6279264 7849080 10465440 15698160 31396320