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69985920 = 273536451
BaseRepresentation
bin1000010101111…
…10011010000000
311212200122122010
410022332122000
5120404022140
610540012520
71506604404
oct412763200
9155618563
1069985920
1136561504
121b531140
13116652b4
14941b104
156226880
hex42be680

69985920 has 64 divisors (see below), whose sum is σ = 223086240. Its totient is φ = 18662400.

The previous prime is 69985919. The next prime is 69985963. The reversal of 69985920 is 2958996.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 69985920.

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 7 ways as a sum of consecutive naturals, for example, 16306 + ... + 20145.

Almost surely, 269985920 is an apocalyptic number.

69985920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

69985920 is an abundant number, since it is smaller than the sum of its proper divisors (153100320).

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

69985920 is a wasteful number, since it uses less digits than its factorization.

69985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36473 (or 36461 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 69985920 is about 8365.7587820831. The cubic root of 69985920 is about 412.1008958913.

The spelling of 69985920 in words is "sixty-nine million, nine hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 36451 72902 109353 145804 182255 218706 291608 364510 437412 546765 583216 729020 874824 1093530 1166432 1458040 1749648 2187060 2332864 2916080 3499296 4374120 4665728 5832160 6998592 8748240 11664320 13997184 17496480 23328640 34992960 69985920