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70506306 = 23213417349
BaseRepresentation
bin1000011001111…
…01011101000010
311220200002110200
410030331131002
5121022200211
610555110030
71514202513
oct414753502
9156602420
1070506306
1136887482
121b742316
13117b8110
149514a0a
1562cab56
hex433d742

70506306 has 48 divisors (see below), whose sum is σ = 168550200. Its totient is φ = 21162240.

The previous prime is 70506277. The next prime is 70506329. The reversal of 70506306 is 60360507.

It can be written as a sum of positive squares in 4 ways, for example, as 36108081 + 34398225 = 6009^2 + 5865^2 .

It is a super-2 number, since 2×705063062 = 9942278371531272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 70506306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5920 + ... + 13268.

Almost surely, 270506306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70506306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84275100).

70506306 is an abundant number, since it is smaller than the sum of its proper divisors (98043894).

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

70506306 is a wasteful number, since it uses less digits than its factorization.

70506306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7411 (or 7408 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 70506306 is about 8396.8033203118. The cubic root of 70506306 is about 413.1197779640.

The spelling of 70506306 in words is "seventy million, five hundred six thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 7349 9594 14698 22047 44094 66141 95537 132282 191074 286611 301309 573222 602618 859833 903927 1719666 1807854 2711781 3917017 5423562 7834034 11751051 23502102 35253153 70506306