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31415940 = 22325174533
BaseRepresentation
bin111011111010…
…1111010000100
32012010002120100
41313311322010
531020302230
63041204100
7531013443
oct167657204
965102510
1031415940
1116808296
12a630630
13667c61a
14425ad5a
152b58660
hex1df5e84

31415940 has 36 divisors (see below), whose sum is σ = 95295564. Its totient is φ = 8377536.

The previous prime is 31415899. The next prime is 31415971. The reversal of 31415940 is 4951413.

31415940 is a `hidden beast` number, since 31 + 41 + 594 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16112196 + 15303744 = 4014^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×314159402 = 1973922572167200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87087 + ... + 87446.

It is an arithmetic number, because the mean of its divisors is an integer number (2647099).

Almost surely, 231415940 is an apocalyptic number.

31415940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31415940 is an abundant number, since it is smaller than the sum of its proper divisors (63879624).

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

31415940 is a wasteful number, since it uses less digits than its factorization.

31415940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174548 (or 174543 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 31415940 is about 5604.9924174793. The cubic root of 31415940 is about 315.5368020073.

The spelling of 31415940 in words is "thirty-one million, four hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 174533 349066 523599 698132 872665 1047198 1570797 1745330 2094396 2617995 3141594 3490660 5235990 6283188 7853985 10471980 15707970 31415940