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70328960 = 2751379107
BaseRepresentation
bin1000011000100…
…10001010000000
311220100002012022
410030102022000
5121001011320
610551221012
71512533462
oct414221200
9156302168
1070328960
1136776209
121b677768
1311755490
1494aa132
156293325
hex4312280

70328960 has 128 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 25399296.

The previous prime is 70328959. The next prime is 70329001. The reversal of 70328960 is 6982307.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×703289602 = 9892325229363200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 70328960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657227 + ... + 657333.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 270328960 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 70328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

70328960 is an abundant number, since it is smaller than the sum of its proper divisors (114739840).

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

70328960 is a wasteful number, since it uses less digits than its factorization.

70328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 70328960 is about 8386.2363429610. The cubic root of 70328960 is about 412.7731108419.

The spelling of 70328960 in words is "seventy million, three hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 79 80 104 107 128 130 158 160 208 214 260 316 320 395 416 428 520 535 632 640 790 832 856 1027 1040 1070 1264 1391 1580 1664 1712 2054 2080 2140 2528 2782 3160 3424 4108 4160 4280 5056 5135 5564 6320 6848 6955 8216 8320 8453 8560 10112 10270 11128 12640 13696 13910 16432 16906 17120 20540 22256 25280 27820 32864 33812 34240 41080 42265 44512 50560 55640 65728 67624 68480 82160 84530 89024 109889 111280 131456 135248 164320 169060 178048 219778 222560 270496 328640 338120 439556 445120 540992 549445 657280 676240 879112 890240 1081984 1098890 1352480 1758224 2197780 2704960 3516448 4395560 5409920 7032896 8791120 14065792 17582240 35164480 70328960