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672008076 = 22342279137
BaseRepresentation
bin101000000011100…
…000011110001100
31201211111112210000
4220003200132030
52334013224301
6150403244300
722436655135
oct5003403614
91654445700
10672008076
11315370683
12169079690
13a92bb41c
146536cc8c
153dee3786
hex280e078c

672008076 has 60 divisors (see below), whose sum is σ = 1764694008. Its totient is φ = 222991488.

The previous prime is 672008069. The next prime is 672008101. The reversal of 672008076 is 670800276.

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

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 672008076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68980 + ... + 78116.

Almost surely, 2672008076 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 672008076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882347004).

672008076 is an abundant number, since it is smaller than the sum of its proper divisors (1092685932).

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

672008076 is a wasteful number, since it uses less digits than its factorization.

672008076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380 (or 9369 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 672008076 is about 25923.1185623952. The cubic root of 672008076 is about 875.9073367925.

The spelling of 672008076 in words is "six hundred seventy-two million, eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 227 324 454 681 908 1362 2043 2724 4086 6129 8172 9137 12258 18274 18387 24516 27411 36548 36774 54822 73548 82233 109644 164466 246699 328932 493398 740097 986796 1480194 2074099 2960388 4148198 6222297 8296396 12444594 18666891 24889188 37333782 56000673 74667564 112001346 168002019 224002692 336004038 672008076