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78012180 = 22335731979
BaseRepresentation
bin1001010011001…
…01111100010100
312102210102121000
410221211330110
5124432342210
611424023300
71635043521
oct451457424
9172712530
1078012180
1140043784
1222161b30
131321566c
14a50a148
156caeac0
hex4a65f14

78012180 has 96 divisors (see below), whose sum is σ = 246153600. Its totient is φ = 20507904.

The previous prime is 78012139. The next prime is 78012199. The reversal of 78012180 is 8121087.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38431 + ... + 40409.

It is an arithmetic number, because the mean of its divisors is an integer number (2564100).

Almost surely, 278012180 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 78012180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123076800).

78012180 is an abundant number, since it is smaller than the sum of its proper divisors (168141420).

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

78012180 is a wasteful number, since it uses less digits than its factorization.

78012180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 78012180 is about 8832.4503961245. The cubic root of 78012180 is about 427.2881067485.

The spelling of 78012180 in words is "seventy-eight million, twelve thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1095 1314 1460 1971 1979 2190 2628 3285 3942 3958 4380 5937 6570 7884 7916 9855 9895 11874 13140 17811 19710 19790 23748 29685 35622 39420 39580 53433 59370 71244 89055 106866 118740 144467 178110 213732 267165 288934 356220 433401 534330 577868 722335 866802 1068660 1300203 1444670 1733604 2167005 2600406 2889340 3900609 4334010 5200812 6501015 7801218 8668020 13002030 15602436 19503045 26004060 39006090 78012180