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70539264 = 211324389
BaseRepresentation
bin1000011010001…
…01100000000000
311220201202200100
410031011200000
5121024224024
610555522400
71514400555
oct415054000
9156652610
1070539264
11368aa214
121b759400
13117ca113
149522a2c
1562d57c9
hex4345800

70539264 has 144 divisors (see below), whose sum is σ = 210810600. Its totient is φ = 22708224.

The previous prime is 70539257. The next prime is 70539289. The reversal of 70539264 is 46293507.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 792532 + ... + 792620.

Almost surely, 270539264 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 70539264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105405300).

70539264 is an abundant number, since it is smaller than the sum of its proper divisors (140271336).

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

70539264 is a wasteful number, since it uses less digits than its factorization.

70539264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 70539264 is about 8398.7656235902. The cubic root of 70539264 is about 413.1841385460.

The spelling of 70539264 in words is "seventy million, five hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 89 96 128 129 144 172 178 192 256 258 267 288 344 356 384 387 512 516 534 576 688 712 768 774 801 1024 1032 1068 1152 1376 1424 1536 1548 1602 2048 2064 2136 2304 2752 2848 3072 3096 3204 3827 4128 4272 4608 5504 5696 6144 6192 6408 7654 8256 8544 9216 11008 11392 11481 12384 12816 15308 16512 17088 18432 22016 22784 22962 24768 25632 30616 33024 34176 34443 44032 45568 45924 49536 51264 61232 66048 68352 68886 88064 91136 91848 99072 102528 122464 132096 136704 137772 182272 183696 198144 205056 244928 264192 273408 275544 367392 396288 410112 489856 546816 551088 734784 792576 820224 979712 1102176 1469568 1640448 1959424 2204352 2939136 3918848 4408704 5878272 7837696 8817408 11756544 17634816 23513088 35269632 70539264