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667701072 = 243241113093
BaseRepresentation
bin100111110011000…
…100111101010000
31201112101201200100
4213303010331100
52331412413242
6150131052400
722355236233
oct4763047520
91645351610
10667701072
11312999775
12167741100
13a8440bbc
146496b41a
153d94254c
hex27cc4f50

667701072 has 60 divisors (see below), whose sum is σ = 1914229044. Its totient is φ = 217136640.

The previous prime is 667701043. The next prime is 667701091. The reversal of 667701072 is 270107766.

667701072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 215032896 + 452668176 = 14664^2 + 21276^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50643 + ... + 62450.

Almost surely, 2667701072 is an apocalyptic number.

It is an amenable number.

667701072 is an abundant number, since it is smaller than the sum of its proper divisors (1246527972).

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

667701072 is a wasteful number, since it uses less digits than its factorization.

667701072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113148 (or 113139 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 667701072 is about 25839.9123837524. The cubic root of 667701072 is about 874.0320494019.

The spelling of 667701072 in words is "six hundred sixty-seven million, seven hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 113093 226186 339279 452372 678558 904744 1017837 1357116 1809488 2035674 2714232 4071348 4636813 5428464 8142696 9273626 13910439 16285392 18547252 27820878 37094504 41731317 55641756 74189008 83462634 111283512 166925268 222567024 333850536 667701072