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70644640 = 2551124189
BaseRepresentation
bin1000011010111…
…11001110100000
311220221010020011
410031133032200
5121041112030
611002054304
71515320023
oct415371640
9156833204
1070644640
1136971400
121b7aa394
1311836081
14954d1ba
156306b2a
hex435f3a0

70644640 has 144 divisors (see below), whose sum is σ = 190035720. Its totient is φ = 24780800.

The previous prime is 70644631. The next prime is 70644647. The reversal of 70644640 is 4644607.

It can be written as a sum of positive squares in 4 ways, for example, as 26501904 + 44142736 = 5148^2 + 6644^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70644647) by changing a digit.

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, 793716 + ... + 793804.

Almost surely, 270644640 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 70644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95017860).

70644640 is an abundant number, since it is smaller than the sum of its proper divisors (119391080).

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

70644640 is a wasteful number, since it uses less digits than its factorization.

70644640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 70644640 is about 8405.0365852862. The cubic root of 70644640 is about 413.3897830175.

The spelling of 70644640 in words is "seventy million, six hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 89 110 121 160 164 176 178 205 220 242 328 352 356 410 440 445 451 484 605 656 712 820 880 890 902 968 979 1210 1312 1424 1640 1760 1780 1804 1936 1958 2255 2420 2848 3280 3560 3608 3649 3872 3916 4510 4840 4895 4961 6560 7120 7216 7298 7832 9020 9680 9790 9922 10769 14240 14432 14596 15664 18040 18245 19360 19580 19844 21538 24805 29192 31328 36080 36490 39160 39688 40139 43076 49610 53845 58384 72160 72980 78320 79376 80278 86152 99220 107690 116768 145960 156640 158752 160556 172304 198440 200695 215380 291920 321112 344608 396880 401390 430760 441529 583840 642224 793760 802780 861520 883058 1284448 1605560 1723040 1766116 2207645 3211120 3532232 4415290 6422240 7064464 8830580 14128928 17661160 35322320 70644640