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83975970 = 235131631321
BaseRepresentation
bin1010000000101…
…01111100100010
312212000102101010
411000111330202
5132444212340
612155521350
72036532621
oct500257442
9185012333
1083975970
1143447431
1224159256
1314523030
14b21d6b8
15758bb80
hex5015f22

83975970 has 64 divisors (see below), whose sum is σ = 218542464. Its totient is φ = 20528640.

The previous prime is 83975963. The next prime is 83975989. The reversal of 83975970 is 7957938.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62910 + ... + 64230.

It is an arithmetic number, because the mean of its divisors is an integer number (3414726).

Almost surely, 283975970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83975970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109271232).

83975970 is an abundant number, since it is smaller than the sum of its proper divisors (134566494).

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

83975970 is a wasteful number, since it uses less digits than its factorization.

83975970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507.

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 83975970 is about 9163.8403521668. The cubic root of 83975970 is about 437.9101481626.

The spelling of 83975970 in words is "eighty-three million, nine hundred seventy-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 163 195 326 390 489 815 978 1321 1630 2119 2445 2642 3963 4238 4890 6357 6605 7926 10595 12714 13210 17173 19815 21190 31785 34346 39630 51519 63570 85865 103038 171730 215323 257595 430646 515190 645969 1076615 1291938 2153230 2799199 3229845 5598398 6459690 8397597 13995995 16795194 27991990 41987985 83975970