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31139784 = 2332131719103
BaseRepresentation
bin111011011001…
…0011111001000
32011121001202100
41312302133020
530432433114
63031233400
7525453354
oct166623710
964531670
1031139784
1116639865
12a518860
1365b3a10
1441c8464
152b01909
hex1db27c8

31139784 has 192 divisors, whose sum is σ = 102211200. Its totient is φ = 8460288.

The previous prime is 31139761. The next prime is 31139789. The reversal of 31139784 is 48793113.

It is a happy number.

It is a super-2 number, since 2×311397842 = 1939372295133312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31139789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302277 + ... + 302379.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 231139784 is an apocalyptic number.

31139784 is a gapful number since it is divisible by the number (34) 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 31139784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51105600).

31139784 is an abundant number, since it is smaller than the sum of its proper divisors (71071416).

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

31139784 is a wasteful number, since it uses less digits than its factorization.

31139784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 31139784 is about 5580.3032175680. The cubic root of 31139784 is about 314.6095237214.

The spelling of 31139784 in words is "thirty-one million, one hundred thirty-nine thousand, seven hundred eighty-four".