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70502960 = 24511113709
BaseRepresentation
bin1000011001111…
…00101000110000
311220122220212202
410030330220300
5121022043320
610555042332
71514156663
oct414745060
9156586782
1070502960
1136884a10
121b7403a8
13117b6738
1495136da
1562c9b75
hex433ca30

70502960 has 80 divisors (see below), whose sum is σ = 180658080. Its totient is φ = 25374720.

The previous prime is 70502953. The next prime is 70502963. The reversal of 70502960 is 6920507.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (70502963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 99086 + ... + 99794.

It is an arithmetic number, because the mean of its divisors is an integer number (2258226).

Almost surely, 270502960 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 70502960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90329040).

70502960 is an abundant number, since it is smaller than the sum of its proper divisors (110155120).

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

70502960 is a wasteful number, since it uses less digits than its factorization.

70502960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 70502960 is about 8396.6040754581. The cubic root of 70502960 is about 413.1132427536.

The spelling of 70502960 in words is "seventy million, five hundred two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 440 452 565 709 880 904 1130 1243 1418 1808 2260 2486 2836 3545 4520 4972 5672 6215 7090 7799 9040 9944 11344 12430 14180 15598 19888 24860 28360 31196 38995 49720 56720 62392 77990 80117 99440 124784 155980 160234 311960 320468 400585 623920 640936 801170 881287 1281872 1602340 1762574 3204680 3525148 4406435 6409360 7050296 8812870 14100592 17625740 35251480 70502960