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70066368 = 26321031181
BaseRepresentation
bin1000010110100…
…10000011000000
311212211201222200
410023102003000
5120414110433
610541433200
71510361061
oct413220300
9155751880
1070066368
1136606999
121b56b800
1311692ab8
14943c568
156240613
hex42d20c0

70066368 has 84 divisors (see below), whose sum is σ = 202954128. Its totient is φ = 23109120.

The previous prime is 70066363. The next prime is 70066379. The reversal of 70066368 is 86366007.

It is a happy number.

It is a super-2 number, since 2×700663682 = 9818591849422848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (70066361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58738 + ... + 59918.

Almost surely, 270066368 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 70066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101477064).

70066368 is an abundant number, since it is smaller than the sum of its proper divisors (132887760).

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

70066368 is a wasteful number, since it uses less digits than its factorization.

70066368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 70066368 is about 8370.5655722896. The cubic root of 70066368 is about 412.2587371547.

The spelling of 70066368 in words is "seventy million, sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 144 192 206 288 309 412 576 618 824 927 1181 1236 1648 1854 2362 2472 3296 3543 3708 4724 4944 6592 7086 7416 9448 9888 10629 14172 14832 18896 19776 21258 28344 29664 37792 42516 56688 59328 75584 85032 113376 121643 170064 226752 243286 340128 364929 486572 680256 729858 973144 1094787 1459716 1946288 2189574 2919432 3892576 4379148 5838864 7785152 8758296 11677728 17516592 23355456 35033184 70066368