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70968576 = 283743307
BaseRepresentation
bin1000011101011…
…10010100000000
311221112120120210
410032232110000
5121131443301
611013034120
71521136320
oct416562400
9157476523
1070968576
1137072818
121b925940
131191a653
1495d5280
15636cad6
hex43ae500

70968576 has 144 divisors (see below), whose sum is σ = 221602304. Its totient is φ = 19740672.

The previous prime is 70968529. The next prime is 70968587. The reversal of 70968576 is 67586907.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 231015 + ... + 231321.

Almost surely, 270968576 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 70968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110801152).

70968576 is an abundant number, since it is smaller than the sum of its proper divisors (150633728).

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

70968576 is a wasteful number, since it uses less digits than its factorization.

70968576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 70968576 is about 8424.2848954674. The cubic root of 70968576 is about 414.0206762294.

The spelling of 70968576 in words is "seventy million, nine hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 256 258 301 307 336 344 384 448 516 602 614 672 688 768 896 903 921 1032 1204 1228 1344 1376 1792 1806 1842 2064 2149 2408 2456 2688 2752 3612 3684 4128 4298 4816 4912 5376 5504 6447 7224 7368 8256 8596 9632 9824 11008 12894 13201 14448 14736 16512 17192 19264 19648 25788 26402 28896 29472 33024 34384 38528 39296 39603 51576 52804 57792 58944 68768 77056 78592 79206 92407 103152 105608 115584 117888 137536 158412 184814 206304 211216 231168 235776 275072 277221 316824 369628 412608 422432 550144 554442 633648 739256 825216 844864 1108884 1267296 1478512 1650432 1689728 2217768 2534592 2957024 3379456 4435536 5069184 5914048 8871072 10138368 11828096 17742144 23656192 35484288 70968576