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860074080 = 25356592719
BaseRepresentation
bin110011010000111…
…011000001100000
32012221101021211120
4303100323001200
53230134332310
6221202212240
730212336415
oct6320730140
92187337746
10860074080
11401542428
12200054080
13109257798
148232610c
1550791b70
hex3343b060

860074080 has 96 divisors (see below), whose sum is σ = 2714342400. Its totient is φ = 228920832.

The previous prime is 860074079. The next prime is 860074091. The reversal of 860074080 is 80470068.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314961 + ... + 317679.

It is an arithmetic number, because the mean of its divisors is an integer number (28274400).

Almost surely, 2860074080 is an apocalyptic number.

860074080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 860074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

860074080 is an abundant number, since it is smaller than the sum of its proper divisors (1854268320).

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

860074080 is a wasteful number, since it uses less digits than its factorization.

860074080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 860074080 is about 29327.0196235485. The cubic root of 860074080 is about 950.9958458511.

The spelling of 860074080 in words is "eight hundred sixty million, seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 659 1318 1977 2636 2719 3295 3954 5272 5438 6590 7908 8157 9885 10544 10876 13180 13595 15816 16314 19770 21088 21752 26360 27190 31632 32628 39540 40785 43504 52720 54380 63264 65256 79080 81570 87008 105440 108760 130512 158160 163140 217520 261024 316320 326280 435040 652560 1305120 1791821 3583642 5375463 7167284 8959105 10750926 14334568 17918210 21501852 26877315 28669136 35836420 43003704 53754630 57338272 71672840 86007408 107509260 143345680 172014816 215018520 286691360 430037040 860074080