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31114680 = 2335298941
BaseRepresentation
bin111011010110…
…0010110111000
32011112210022120
41312230112320
530431132210
63030521240
7525320232
oct166542670
964483276
1031114680
1116621a13
12a506220
1365a546c
1441bd252
152ae9270
hex1dac5b8

31114680 has 64 divisors (see below), whose sum is σ = 96573600. Its totient is φ = 8010240.

The previous prime is 31114679. The next prime is 31114687. The reversal of 31114680 is 8641113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31114680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31114687) 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, 991 + ... + 7950.

Almost surely, 231114680 is an apocalyptic number.

31114680 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 31114680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48286800).

31114680 is an abundant number, since it is smaller than the sum of its proper divisors (65458920).

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

31114680 is a wasteful number, since it uses less digits than its factorization.

31114680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8984 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 31114680 is about 5578.0534239105. The cubic root of 31114680 is about 314.5249579367.

Adding to 31114680 its reverse (8641113), we get a palindrome (39755793).

The spelling of 31114680 in words is "thirty-one million, one hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 8941 17882 26823 35764 44705 53646 71528 89410 107292 134115 178820 214584 259289 268230 357640 518578 536460 777867 1037156 1072920 1296445 1555734 2074312 2592890 3111468 3889335 5185780 6222936 7778670 10371560 15557340 31114680