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70913664 = 273317271
BaseRepresentation
bin1000011101000…
…00111010000000
311221102210021000
410032200322000
5121123214124
611011532000
71520520243
oct416407200
9157383230
1070913664
1137035538
121b8ba000
13118cb663
1495bd25a
15635b6c9
hex43a0e80

70913664 has 192 divisors, whose sum is σ = 225460800. Its totient is φ = 21934080.

The previous prime is 70913663. The next prime is 70913699. The reversal of 70913664 is 46631907.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70913663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998749 + ... + 998819.

It is an arithmetic number, because the mean of its divisors is an integer number (1174275).

Almost surely, 270913664 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 70913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112730400).

70913664 is an abundant number, since it is smaller than the sum of its proper divisors (154547136).

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

70913664 is a wasteful number, since it uses less digits than its factorization.

70913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 70913664 is about 8421.0251157445. The cubic root of 70913664 is about 413.9138657186.

The spelling of 70913664 in words is "seventy million, nine hundred thirteen thousand, six hundred sixty-four".