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670010976 = 253223101149
BaseRepresentation
bin100111111011111…
…000111001100000
31201200202002021100
4213323320321200
52333010322401
6150252354400
722413666525
oct4773707140
91650662240
10670010976
11314227188
12168475a00
13a8a6c3cb
1464dad14c
153dc4bb86
hex27ef8e60

670010976 has 72 divisors (see below), whose sum is σ = 1988204400. Its totient is φ = 213624576.

The previous prime is 670010969. The next prime is 670010977. The reversal of 670010976 is 679010076.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×6700109763 (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 670010976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670010977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43951 + ... + 57198.

It is an arithmetic number, because the mean of its divisors is an integer number (27613950).

Almost surely, 2670010976 is an apocalyptic number.

It is an amenable number.

670010976 is an abundant number, since it is smaller than the sum of its proper divisors (1318193424).

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

670010976 is a wasteful number, since it uses less digits than its factorization.

670010976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101188 (or 101177 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 670010976 is about 25884.5702301584. The cubic root of 670010976 is about 875.0387905524.

The spelling of 670010976 in words is "six hundred seventy million, ten thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 101149 202298 303447 404596 606894 809192 910341 1213788 1618384 1820682 2326427 2427576 3236768 3641364 4652854 4855152 6979281 7282728 9305708 9710304 13958562 14565456 18611416 20937843 27917124 29130912 37222832 41875686 55834248 74445664 83751372 111668496 167502744 223336992 335005488 670010976