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70364640 = 2535473119
BaseRepresentation
bin1000011000110…
…10110111100000
311220101220010210
410030122313200
5121003132030
610552054120
71513042503
oct414326740
9156356123
1070364640
113679aaa5
121b694340
13117687a8
1494b913a
15629dbb0
hex431ade0

70364640 has 96 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 18358784.

The previous prime is 70364617. The next prime is 70364647. The reversal of 70364640 is 4646307.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 70364598 and 70364607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70364647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21001 + ... + 24119.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 270364640 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 70364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

70364640 is an abundant number, since it is smaller than the sum of its proper divisors (156072480).

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

70364640 is a wasteful number, since it uses less digits than its factorization.

70364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 70364640 is about 8388.3633683812. The cubic root of 70364640 is about 412.8429031185.

The spelling of 70364640 in words is "seventy million, three hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3119 3760 4512 5640 6238 7520 9357 11280 12476 15595 18714 22560 24952 31190 37428 46785 49904 62380 74856 93570 99808 124760 146593 149712 187140 249520 293186 299424 374280 439779 499040 586372 732965 748560 879558 1172744 1465930 1497120 1759116 2198895 2345488 2931860 3518232 4397790 4690976 5863720 7036464 8795580 11727440 14072928 17591160 23454880 35182320 70364640