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31135468 = 22713233719
BaseRepresentation
bin111011011000…
…1011011101100
32011120211211111
41312301123230
530432313333
63031201404
7525434650
oct166613354
964524744
1031135468
11166365a1
12a516264
1365b1a70
1441c6a60
152b004cd
hex1db16ec

31135468 has 48 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 11778624.

The previous prime is 31135457. The next prime is 31135469. The reversal of 31135468 is 86453113.

It is not an unprimeable number, because it can be changed into a prime (31135469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6513 + ... + 10231.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 231135468 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 31135468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

31135468 is an abundant number, since it is smaller than the sum of its proper divisors (38860052).

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

31135468 is a wasteful number, since it uses less digits than its factorization.

31135468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3764 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 31135468 is about 5579.9164868302. The cubic root of 31135468 is about 314.5949880024.

The spelling of 31135468 in words is "thirty-one million, one hundred thirty-five thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 3719 4186 7438 8372 14876 26033 48347 52066 85537 96694 104132 171074 193388 338429 342148 598759 676858 1111981 1197518 1353716 2223962 2395036 4447924 7783867 15567734 31135468