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31799040 = 283572132
BaseRepresentation
bin111100101001…
…1011100000000
32012211120002020
41321103130000
531120032130
63053321440
7534200400
oct171233400
965746066
1031799040
1116a4a0a9
12a796280
136784b00
14431a800
152bd1e10
hex1e53700

31799040 has 324 divisors, whose sum is σ = 127925784. Its totient is φ = 6709248.

The previous prime is 31799039. The next prime is 31799057. The reversal of 31799040 is 4099713.

It is a super-2 number, since 2×317990402 = 2022357889843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31798992 and 31799010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2446074 + ... + 2446086.

Almost surely, 231799040 is an apocalyptic number.

31799040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63962892).

31799040 is an abundant number, since it is smaller than the sum of its proper divisors (96126744).

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

31799040 is a wasteful number, since it uses less digits than its factorization.

31799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 31799040 is about 5639.0637520780. The cubic root of 31799040 is about 316.8142224000.

The spelling of 31799040 in words is "thirty-one million, seven hundred ninety-nine thousand, forty".