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31603068 = 22337172459
BaseRepresentation
bin111100010001…
…1100101111100
32012110121021000
41320203211330
531042244233
63045210300
7532423140
oct170434574
965417230
1031603068
1116925942
12a700990
136716853
1442a9220
152b93d13
hex1e2397c

31603068 has 96 divisors (see below), whose sum is σ = 99187200. Its totient is φ = 8494848.

The previous prime is 31603027. The next prime is 31603073. The reversal of 31603068 is 86030613.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 11623 + ... + 14081.

It is an arithmetic number, because the mean of its divisors is an integer number (1033200).

Almost surely, 231603068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31603068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49593600).

31603068 is an abundant number, since it is smaller than the sum of its proper divisors (67584132).

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

31603068 is a wasteful number, since it uses less digits than its factorization.

31603068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 31603068 is about 5621.6606087525. The cubic root of 31603068 is about 316.1620570252.

The spelling of 31603068 in words is "thirty-one million, six hundred three thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 2459 3213 4284 4918 6426 7377 9836 12852 14754 17213 22131 29508 34426 41803 44262 51639 66393 68852 83606 88524 103278 125409 132786 154917 167212 206556 250818 265572 292621 309834 376227 464751 501636 585242 619668 752454 877863 929502 1128681 1170484 1504908 1755726 1859004 2257362 2633589 3511452 4514724 5267178 7900767 10534356 15801534 31603068