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31057120 = 255732659
BaseRepresentation
bin111011001111…
…0010011100000
32011102212100201
41312132103200
530422311440
63025354544
7524660353
oct166362340
964385321
1031057120
1116592746
12a498a54
1365851c3
1441a629a
152ad719a
hex1d9e4e0

31057120 has 48 divisors (see below), whose sum is σ = 74405520. Its totient is φ = 12248064.

The previous prime is 31057111. The next prime is 31057123. The reversal of 31057120 is 2175013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31057123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10351 + ... + 13009.

It is an arithmetic number, because the mean of its divisors is an integer number (1550115).

Almost surely, 231057120 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 31057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37202760).

31057120 is an abundant number, since it is smaller than the sum of its proper divisors (43348400).

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

31057120 is a wasteful number, since it uses less digits than its factorization.

31057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 31057120 is about 5572.8915295383. The cubic root of 31057120 is about 314.3308884298.

The spelling of 31057120 in words is "thirty-one million, fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2659 2920 5318 5840 10636 11680 13295 21272 26590 42544 53180 85088 106360 194107 212720 388214 425440 776428 970535 1552856 1941070 3105712 3882140 6211424 7764280 15528560 31057120