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31431040 = 27567733
BaseRepresentation
bin111011111100…
…1100110000000
32012010212021121
41313321212000
531021243130
63041402024
7531105454
oct167714600
965125247
1031431040
1116818673
12a639314
136686464
144262664
152b5cd7a
hex1df9980

31431040 has 64 divisors (see below), whose sum is σ = 76365360. Its totient is φ = 12367872.

The previous prime is 31431031. The next prime is 31431121. The reversal of 31431040 is 4013413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 42514 + ... + 43246.

Almost surely, 231431040 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 31431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38182680).

31431040 is an abundant number, since it is smaller than the sum of its proper divisors (44934320).

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

31431040 is an equidigital number, since it uses as much as digits as its factorization.

31431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 31431040 is about 5606.3392690775. The cubic root of 31431040 is about 315.5873479250.

Adding to 31431040 its reverse (4013413), we get a palindrome (35444453).

The spelling of 31431040 in words is "thirty-one million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 268 320 335 536 640 670 733 1072 1340 1466 2144 2680 2932 3665 4288 5360 5864 7330 8576 10720 11728 14660 21440 23456 29320 42880 46912 49111 58640 93824 98222 117280 196444 234560 245555 392888 469120 491110 785776 982220 1571552 1964440 3143104 3928880 6286208 7857760 15715520 31431040