Search a number
-
+
31553940 = 22351147809
BaseRepresentation
bin111100001011…
…1100110010100
32012101002212110
41320113212110
531034211230
63044151020
7532126665
oct170274624
965332773
1031553940
11168a1a40
12a698470
1366ca392
14429536c
152b844b0
hex1e17994

31553940 has 48 divisors (see below), whose sum is σ = 96384960. Its totient is φ = 7649280.

The previous prime is 31553903. The next prime is 31553983. The reversal of 31553940 is 4935513.

It is a super-2 number, since 2×315539402 = 1991302259047200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31553898 and 31553907.

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 15 ways as a sum of consecutive naturals, for example, 23245 + ... + 24564.

It is an arithmetic number, because the mean of its divisors is an integer number (2008020).

Almost surely, 231553940 is an apocalyptic number.

31553940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31553940 is an abundant number, since it is smaller than the sum of its proper divisors (64831020).

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

31553940 is a wasteful number, since it uses less digits than its factorization.

31553940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47832 (or 47830 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 31553940 is about 5617.2893818994. The cubic root of 31553940 is about 315.9981439831.

The spelling of 31553940 in words is "thirty-one million, five hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 47809 95618 143427 191236 239045 286854 478090 525899 573708 717135 956180 1051798 1434270 1577697 2103596 2629495 2868540 3155394 5258990 6310788 7888485 10517980 15776970 31553940