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31397120 = 285191291
BaseRepresentation
bin111011111000…
…1010100000000
32012002010202022
41313301110000
531014201440
63040541012
7530604536
oct167612400
965063668
1031397120
11167a5137
12a621768
136673ba1
144254156
152b52cb5
hex1df1500

31397120 has 72 divisors (see below), whose sum is σ = 79225440. Its totient is φ = 11888640.

The previous prime is 31397083. The next prime is 31397129. The reversal of 31397120 is 2179313.

It is a self number, because there is not a number n which added to its sum of digits gives 31397120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31397129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23675 + ... + 24965.

Almost surely, 231397120 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 31397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39612720).

31397120 is an abundant number, since it is smaller than the sum of its proper divisors (47828320).

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

31397120 is a wasteful number, since it uses less digits than its factorization.

31397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 31397120 is about 5603.3133055363. The cubic root of 31397120 is about 315.4737810395.

The spelling of 31397120 in words is "thirty-one million, three hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1291 1520 2432 2582 3040 4864 5164 6080 6455 10328 12160 12910 20656 24320 24529 25820 41312 49058 51640 82624 98116 103280 122645 165248 196232 206560 245290 330496 392464 413120 490580 784928 826240 981160 1569856 1652480 1962320 3139712 3924640 6279424 7849280 15698560 31397120