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31139520 = 2635163199
BaseRepresentation
bin111011011001…
…0011011000000
32011121001101120
41312302123000
530432431040
63031232240
7525452526
oct166623300
964531346
1031139520
1116639645
12a518680
1365b3869
1441c8316
152b017d0
hex1db26c0

31139520 has 112 divisors (see below), whose sum is σ = 99974400. Its totient is φ = 8211456.

The previous prime is 31139519. The next prime is 31139527. The reversal of 31139520 is 2593113.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (31139527) 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, 156381 + ... + 156579.

Almost surely, 231139520 is an apocalyptic number.

31139520 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 31139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49987200).

31139520 is an abundant number, since it is smaller than the sum of its proper divisors (68834880).

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

31139520 is a wasteful number, since it uses less digits than its factorization.

31139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 31139520 is about 5580.2795628893. The cubic root of 31139520 is about 314.6086346427.

The spelling of 31139520 in words is "thirty-one million, one hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 163 192 199 240 320 326 398 480 489 597 652 796 815 960 978 995 1194 1304 1592 1630 1956 1990 2388 2445 2608 2985 3184 3260 3912 3980 4776 4890 5216 5970 6368 6520 7824 7960 9552 9780 10432 11940 12736 13040 15648 15920 19104 19560 23880 26080 31296 31840 32437 38208 39120 47760 52160 63680 64874 78240 95520 97311 129748 156480 162185 191040 194622 259496 324370 389244 486555 518992 648740 778488 973110 1037984 1297480 1556976 1946220 2075968 2594960 3113952 3892440 5189920 6227904 7784880 10379840 15569760 31139520