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70532064 = 2532376619
BaseRepresentation
bin1000011010000…
…11101111100000
311220201101210200
410031003233200
5121024011224
610555425200
71514340561
oct415035740
9156641720
1070532064
11368a4869
121b755200
13117c6a65
149520168
1562d35c9
hex4343be0

70532064 has 72 divisors (see below), whose sum is σ = 206027640. Its totient is φ = 22871808.

The previous prime is 70532057. The next prime is 70532113. The reversal of 70532064 is 46023507.

It is a happy number.

70532064 is a `hidden beast` number, since 70 + 532 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7347 + ... + 13965.

It is an arithmetic number, because the mean of its divisors is an integer number (2861495).

Almost surely, 270532064 is an apocalyptic number.

70532064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70532064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103013820).

70532064 is an abundant number, since it is smaller than the sum of its proper divisors (135495576).

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

70532064 is a wasteful number, since it uses less digits than its factorization.

70532064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 70532064 is about 8398.3369782356. The cubic root of 70532064 is about 413.1700800541.

The spelling of 70532064 in words is "seventy million, five hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 6619 10656 13238 19857 26476 39714 52952 59571 79428 105904 119142 158856 211808 238284 244903 317712 476568 489806 635424 734709 953136 979612 1469418 1906272 1959224 2204127 2938836 3918448 4408254 5877672 7836896 8816508 11755344 17633016 23510688 35266032 70532064