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869136880 = 24523563839
BaseRepresentation
bin110011110011011…
…111100111110000
32020120102201122211
4303303133213300
53234444340010
6222124341504
730352353523
oct6363374760
92216381584
10869136880
11406672447
122030a4894
1310b0ab8a1
1483604bba
155148208a
hex33cdf9f0

869136880 has 80 divisors (see below), whose sum is σ = 2114864640. Its totient is φ = 331553024.

The previous prime is 869136859. The next prime is 869136899. The reversal of 869136880 is 88631968.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8691368802 = 1510797832352268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035501 + ... + 1036339.

It is an arithmetic number, because the mean of its divisors is an integer number (26435808).

Almost surely, 2869136880 is an apocalyptic number.

869136880 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 869136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057432320).

869136880 is an abundant number, since it is smaller than the sum of its proper divisors (1245727760).

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

869136880 is a wasteful number, since it uses less digits than its factorization.

869136880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 869136880 is about 29481.1275225355. The cubic root of 869136880 is about 954.3244695010.

The spelling of 869136880 in words is "eight hundred sixty-nine million, one hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 563 839 920 1126 1678 1840 2252 2815 3356 4195 4504 5630 6712 8390 9008 11260 12949 13424 16780 19297 22520 25898 33560 38594 45040 51796 64745 67120 77188 96485 103592 129490 154376 192970 207184 258980 308752 385940 472357 517960 771880 944714 1035920 1543760 1889428 2361785 3778856 4723570 7557712 9447140 10864211 18894280 21728422 37788560 43456844 54321055 86913688 108642110 173827376 217284220 434568440 869136880