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70182816 = 25311411621
BaseRepresentation
bin1000010111011…
…10011110100000
311220001122201120
410023232132200
5120431322231
610544132240
71511354424
oct413563640
9156048646
1070182816
1136686430
121b607080
1311703ac2
14946cb84
156264d96
hex42ee7a0

70182816 has 96 divisors (see below), whose sum is σ = 206006976. Its totient is φ = 20736000.

The previous prime is 70182809. The next prime is 70182823. The reversal of 70182816 is 61828107.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70182809) and next prime (70182823).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 42486 + ... + 44106.

It is an arithmetic number, because the mean of its divisors is an integer number (2145906).

Almost surely, 270182816 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 70182816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103003488).

70182816 is an abundant number, since it is smaller than the sum of its proper divisors (135824160).

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

70182816 is a wasteful number, since it uses less digits than its factorization.

70182816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 70182816 is about 8377.5184869984. The cubic root of 70182816 is about 412.4869975700.

The spelling of 70182816 in words is "seventy million, one hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1621 1804 1968 2706 3242 3608 3936 4863 5412 6484 7216 9726 10824 12968 14432 17831 19452 21648 25936 35662 38904 43296 51872 53493 66461 71324 77808 106986 132922 142648 155616 199383 213972 265844 285296 398766 427944 531688 570592 731071 797532 855888 1063376 1462142 1595064 1711776 2126752 2193213 2924284 3190128 4386426 5848568 6380256 8772852 11697136 17545704 23394272 35091408 70182816