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872984070 = 232571972931
BaseRepresentation
bin110100000010001…
…010111000000110
32020211200012000100
4310002022320012
53241440442240
6222343024530
730430146030
oct6402127006
92224605010
10872984070
1140885a942
1220443b146
1310bb27a2a
1483d26c50
1551991e30
hex3408ae06

872984070 has 96 divisors (see below), whose sum is σ = 2730574080. Its totient is φ = 189034560.

The previous prime is 872984029. The next prime is 872984137. The reversal of 872984070 is 70489278.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 24496 + ... + 48435.

It is an arithmetic number, because the mean of its divisors is an integer number (28443480).

Almost surely, 2872984070 is an apocalyptic number.

872984070 is an abundant number, since it is smaller than the sum of its proper divisors (1857590010).

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

872984070 is a wasteful number, since it uses less digits than its factorization.

872984070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72970 (or 72967 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 872984070 is about 29546.3038297517. The cubic root of 872984070 is about 955.7304864874.

The spelling of 872984070 in words is "eight hundred seventy-two million, nine hundred eighty-four thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 11970 72931 145862 218793 364655 437586 510517 656379 729310 1021034 1093965 1312758 1385689 1531551 2187930 2552585 2771378 3063102 3281895 4157067 4594653 5105170 6563790 6928445 7657755 8314134 9189306 9699823 12471201 13856890 15315510 19399646 20785335 22973265 24942402 29099469 41570670 45946530 48499115 58198938 62356005 87298407 96998230 124712010 145497345 174596814 290994690 436492035 872984070