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31534080 = 210352053
BaseRepresentation
bin111100001001…
…0110000000000
32012100002121220
41320102300000
531033042310
63043515040
7532015044
oct170226000
965302556
1031534080
1116889026
12a688a80
1366c1326
14428c024
152b7d670
hex1e12c00

31534080 has 88 divisors (see below), whose sum is σ = 100908912. Its totient is φ = 8404992.

The previous prime is 31534079. The next prime is 31534103. The reversal of 31534080 is 8043513.

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 31534080.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14334 + ... + 16386.

Almost surely, 231534080 is an apocalyptic number.

31534080 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 31534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50454456).

31534080 is an abundant number, since it is smaller than the sum of its proper divisors (69374832).

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

31534080 is a wasteful number, since it uses less digits than its factorization.

31534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 31534080 is about 5615.5213471235. The cubic root of 31534080 is about 315.9318338251.

Adding to 31534080 its reverse (8043513), we get a palindrome (39577593).

The spelling of 31534080 in words is "thirty-one million, five hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2053 2560 3072 3840 4106 5120 6159 7680 8212 10265 12318 15360 16424 20530 24636 30795 32848 41060 49272 61590 65696 82120 98544 123180 131392 164240 197088 246360 262784 328480 394176 492720 525568 656960 788352 985440 1051136 1313920 1576704 1970880 2102272 2627840 3153408 3941760 5255680 6306816 7883520 10511360 15767040 31534080