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31431640 = 2351722719
BaseRepresentation
bin111011111100…
…1101111011000
32012010220002211
41313321233120
531021303030
63041404504
7531110302
oct167715730
965126084
1031431640
1116819069
12a639734
136686806
144262972
152b5d12a
hex1df9bd8

31431640 has 48 divisors (see below), whose sum is σ = 75153600. Its totient is φ = 11828736.

The previous prime is 31431637. The next prime is 31431641. The reversal of 31431640 is 4613413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10201 + ... + 12919.

It is an arithmetic number, because the mean of its divisors is an integer number (1565700).

Almost surely, 231431640 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 31431640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37576800).

31431640 is an abundant number, since it is smaller than the sum of its proper divisors (43721960).

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

31431640 is a wasteful number, since it uses less digits than its factorization.

31431640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 31431640 is about 5606.3927796757. The cubic root of 31431640 is about 315.5893560376.

The spelling of 31431640 in words is "thirty-one million, four hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2719 2890 5438 5780 10876 11560 13595 21752 27190 46223 54380 92446 108760 184892 231115 369784 462230 785791 924460 1571582 1848920 3143164 3928955 6286328 7857910 15715820 31431640