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70628064 = 25313173329
BaseRepresentation
bin1000011010110…
…11001011100000
311220220021111020
410031123023200
5121040044224
611001445440
71515220503
oct415331340
9156807436
1070628064
113695aa01
121b7a0880
131182b670
14954713a
156301c79
hex435b2e0

70628064 has 96 divisors (see below), whose sum is σ = 211468320. Its totient is φ = 20447232.

The previous prime is 70628053. The next prime is 70628143. The reversal of 70628064 is 46082607.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19552 + ... + 22880.

It is an arithmetic number, because the mean of its divisors is an integer number (2202795).

Almost surely, 270628064 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 70628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105734160).

70628064 is an abundant number, since it is smaller than the sum of its proper divisors (140840256).

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

70628064 is a wasteful number, since it uses less digits than its factorization.

70628064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 70628064 is about 8404.0504520142. The cubic root of 70628064 is about 413.3574480092.

The spelling of 70628064 in words is "seventy million, six hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3329 3536 5304 6658 7072 9987 10608 13316 19974 21216 26632 39948 43277 53264 56593 79896 86554 106528 113186 129831 159792 169779 173108 226372 259662 319584 339558 346216 452744 519324 679116 692432 735709 905488 1038648 1358232 1384864 1471418 1810976 2077296 2207127 2716464 2942836 4154592 4414254 5432928 5885672 8828508 11771344 17657016 23542688 35314032 70628064