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70685568 = 2733113181
BaseRepresentation
bin1000011011010…
…01001110000000
311221000012101000
410031221032000
5121043414233
611003012000
71515550242
oct415511600
9157005330
1070685568
113699a128
121b80a000
131184b8a5
149560092
156313d13
hex4369380

70685568 has 128 divisors (see below), whose sum is σ = 211629600. Its totient is φ = 23224320.

The previous prime is 70685543. The next prime is 70685569. The reversal of 70685568 is 86558607.

70685568 is a `hidden beast` number, since 7 + 0 + 6 + 85 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70685569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390438 + ... + 390618.

Almost surely, 270685568 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 70685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105814800).

70685568 is an abundant number, since it is smaller than the sum of its proper divisors (140944032).

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

70685568 is a wasteful number, since it uses less digits than its factorization.

70685568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 70685568 is about 8407.4709633754. The cubic root of 70685568 is about 413.4696001166.

It can be divided in two parts, 70685 and 568, that added together give a triangular number (71253 = T377).

The spelling of 70685568 in words is "seventy million, six hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 128 144 181 192 216 226 288 339 362 384 432 452 543 576 678 724 864 904 1017 1086 1152 1356 1448 1629 1728 1808 2034 2172 2712 2896 3051 3258 3456 3616 4068 4344 4887 5424 5792 6102 6516 7232 8136 8688 9774 10848 11584 12204 13032 14464 16272 17376 19548 20453 21696 23168 24408 26064 32544 34752 39096 40906 43392 48816 52128 61359 65088 69504 78192 81812 97632 104256 122718 130176 156384 163624 184077 195264 208512 245436 312768 327248 368154 390528 490872 552231 625536 654496 736308 981744 1104462 1308992 1472616 1963488 2208924 2617984 2945232 3926976 4417848 5890464 7853952 8835696 11780928 17671392 23561856 35342784 70685568