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31129080 = 23351491741
BaseRepresentation
bin111011010111…
…1110111111000
32011120112001220
41312233313320
530432112310
63031112040
7525410223
oct166576770
964515056
1031129080
1116631814
12a512620
1365abb98
1441c45ba
152aed670
hex1dafdf8

31129080 has 64 divisors (see below), whose sum is σ = 94068000. Its totient is φ = 8240640.

The previous prime is 31129069. The next prime is 31129141. The reversal of 31129080 is 8092113.

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 31129080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17010 + ... + 18750.

Almost surely, 231129080 is an apocalyptic number.

31129080 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 31129080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47034000).

31129080 is an abundant number, since it is smaller than the sum of its proper divisors (62938920).

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

31129080 is a wasteful number, since it uses less digits than its factorization.

31129080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 31129080 is about 5579.3440474665. The cubic root of 31129080 is about 314.5734715951.

The spelling of 31129080 in words is "thirty-one million, one hundred twenty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1741 1788 2235 2980 3482 3576 4470 5223 5960 6964 8705 8940 10446 13928 17410 17880 20892 26115 34820 41784 52230 69640 104460 208920 259409 518818 778227 1037636 1297045 1556454 2075272 2594090 3112908 3891135 5188180 6225816 7782270 10376360 15564540 31129080