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31416912 = 24321072039
BaseRepresentation
bin111011111011…
…0001001010000
32012010010220100
41313312021100
531020320122
63041212400
7531016332
oct167661120
965103810
1031416912
1116808a9a
12a631100
13667cbb7
14425b452
152b58aac
hex1df6250

31416912 has 60 divisors (see below), whose sum is σ = 88788960. Its totient is φ = 10369344.

The previous prime is 31416907. The next prime is 31416923. The reversal of 31416912 is 21961413.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

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 11 ways as a sum of consecutive naturals, for example, 14389 + ... + 16427.

It is an arithmetic number, because the mean of its divisors is an integer number (1479816).

Almost surely, 231416912 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 31416912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44394480).

31416912 is an abundant number, since it is smaller than the sum of its proper divisors (57372048).

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

31416912 is a wasteful number, since it uses less digits than its factorization.

31416912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2151 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 31416912 is about 5605.0791252221. The cubic root of 31416912 is about 315.5400561792.

The spelling of 31416912 in words is "thirty-one million, four hundred sixteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2039 2568 3852 4078 5136 6117 7704 8156 12234 15408 16312 18351 24468 32624 36702 48936 73404 97872 146808 218173 293616 436346 654519 872692 1309038 1745384 1963557 2618076 3490768 3927114 5236152 7854228 10472304 15708456 31416912