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70790900 = 225243101163
BaseRepresentation
bin1000011100000…
…10111011110100
311221012112212012
410032002323310
5121110302100
611005143352
71516466315
oct416027364
9157175765
1070790900
1136a61284
121b85ab58
131188780b
14958a60c
156335135
hex4382ef4

70790900 has 72 divisors (see below), whose sum is σ = 159718944. Its totient is φ = 27216000.

The previous prime is 70790899. The next prime is 70790911. The reversal of 70790900 is 909707.

It is a super-2 number, since 2×707909002 = 10022703045620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434219 + ... + 434381.

Almost surely, 270790900 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 70790900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79859472).

70790900 is an abundant number, since it is smaller than the sum of its proper divisors (88928044).

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

70790900 is a wasteful number, since it uses less digits than its factorization.

70790900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 32.

The square root of 70790900 is about 8413.7328220000. The cubic root of 70790900 is about 413.6748752351.

The spelling of 70790900 in words is "seventy million, seven hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 101 163 172 202 215 326 404 430 505 652 815 860 1010 1075 1630 2020 2150 2525 3260 4075 4300 4343 5050 7009 8150 8686 10100 14018 16300 16463 17372 21715 28036 32926 35045 43430 65852 70090 82315 86860 108575 140180 164630 175225 217150 329260 350450 411575 434300 700900 707909 823150 1415818 1646300 2831636 3539545 7079090 14158180 17697725 35395450 70790900