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31075002 = 234767409
BaseRepresentation
bin111011010001…
…0101010111010
32011110202220000
41312202222322
530423400002
63030013430
7525063450
oct166425272
964422800
1031075002
11165a5122
12a4a7276
13659039a
1441ac9d0
152adc61c
hex1da2aba

31075002 has 80 divisors (see below), whose sum is σ = 80963520. Its totient is φ = 8724672.

The previous prime is 31074971. The next prime is 31075021. The reversal of 31075002 is 20057013.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75774 + ... + 76182.

It is an arithmetic number, because the mean of its divisors is an integer number (1012044).

Almost surely, 231075002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31075002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40481760).

31075002 is an abundant number, since it is smaller than the sum of its proper divisors (49888518).

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

31075002 is a wasteful number, since it uses less digits than its factorization.

31075002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 31075002 is about 5574.4956722559. The cubic root of 31075002 is about 314.3912051033.

The spelling of 31075002 in words is "thirty-one million, seventy-five thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 81 126 134 162 189 201 378 402 409 469 567 603 818 938 1134 1206 1227 1407 1809 2454 2814 2863 3618 3681 4221 5427 5726 7362 8442 8589 10854 11043 12663 17178 22086 25326 25767 27403 33129 37989 51534 54806 66258 75978 77301 82209 154602 164418 191821 231903 246627 383642 463806 493254 575463 739881 1150926 1479762 1726389 2219643 3452778 4439286 5179167 10358334 15537501 31075002