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31029420 = 223517291049
BaseRepresentation
bin111011001011…
…1100010101100
32011101110100210
41312113202230
530420420140
63025022420
7524513532
oct166274254
964343323
1031029420
1116573954
12a484a10
136575706
14419a152
152acdd80
hex1d978ac

31029420 has 96 divisors (see below), whose sum is σ = 95256000. Its totient is φ = 7512064.

The previous prime is 31029389. The next prime is 31029431. The reversal of 31029420 is 2492013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29056 + ... + 30104.

It is an arithmetic number, because the mean of its divisors is an integer number (992250).

Almost surely, 231029420 is an apocalyptic number.

31029420 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 31029420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47628000).

31029420 is an abundant number, since it is smaller than the sum of its proper divisors (64226580).

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

31029420 is a wasteful number, since it uses less digits than its factorization.

31029420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 31029420 is about 5570.4057302857. The cubic root of 31029420 is about 314.2374095379.

The spelling of 31029420 in words is "thirty-one million, twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1049 1479 1740 1972 2098 2465 2958 3147 4196 4930 5245 5916 6294 7395 9860 10490 12588 14790 15735 17833 20980 29580 30421 31470 35666 53499 60842 62940 71332 89165 91263 106998 121684 152105 178330 182526 213996 267495 304210 356660 365052 456315 517157 534990 608420 912630 1034314 1069980 1551471 1825260 2068628 2585785 3102942 5171570 6205884 7757355 10343140 15514710 31029420