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31997112 = 2337283673
BaseRepresentation
bin111101000001…
…1110010111000
32020012121210020
41322003302320
531142401422
63101450440
7535654020
oct172036270
966177706
1031997112
11170749a4
12a870a20
136824004
14436ca80
152c2095c
hex1e83cb8

31997112 has 64 divisors (see below), whose sum is σ = 91879680. Its totient is φ = 9096192.

The previous prime is 31997093. The next prime is 31997113. The reversal of 31997112 is 21179913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31997113) by changing a digit.

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, 47208 + ... + 47880.

It is an arithmetic number, because the mean of its divisors is an integer number (1435620).

Almost surely, 231997112 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 31997112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45939840).

31997112 is an abundant number, since it is smaller than the sum of its proper divisors (59882568).

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

31997112 is a wasteful number, since it uses less digits than its factorization.

31997112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its digits is 3402, while the sum is 33.

The square root of 31997112 is about 5656.5989781847. The cubic root of 31997112 is about 317.4706592433.

The spelling of 31997112 in words is "thirty-one million, nine hundred ninety-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 566 673 849 1132 1346 1698 1981 2019 2264 2692 3396 3962 4038 4711 5384 5943 6792 7924 8076 9422 11886 14133 15848 16152 18844 23772 28266 37688 47544 56532 113064 190459 380918 571377 761836 1142754 1333213 1523672 2285508 2666426 3999639 4571016 5332852 7999278 10665704 15998556 31997112