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869160096 = 25327479173
BaseRepresentation
bin110011110011100…
…101010010100000
32020120110220111200
4303303211102200
53240001110341
6222125041200
730352511310
oct6363452240
92216426450
10869160096
11406688932
122030b6200
1310b0b931c
148360d440
1551488db6
hex33ce54a0

869160096 has 144 divisors (see below), whose sum is σ = 2885186304. Its totient is φ = 243021312.

The previous prime is 869160059. The next prime is 869160109. The reversal of 869160096 is 690061968.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90166 + ... + 99338.

It is an arithmetic number, because the mean of its divisors is an integer number (20036016).

Almost surely, 2869160096 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 869160096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442593152).

869160096 is an abundant number, since it is smaller than the sum of its proper divisors (2016026208).

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

869160096 is a wasteful number, since it uses less digits than its factorization.

869160096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9243 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 869160096 is about 29481.5212633270. The cubic root of 869160096 is about 954.3329665898.

The spelling of 869160096 in words is "eight hundred sixty-nine million, one hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5922 6768 7896 9173 10528 11844 13536 15792 18346 23688 27519 31584 36692 47376 55038 64211 73384 82557 94752 110076 128422 146768 165114 192633 220152 256844 293536 330228 385266 431131 440304 513688 577899 660456 770532 862262 880608 1027376 1155798 1293393 1320912 1541064 1724524 2054752 2311596 2586786 2641824 3017917 3082128 3449048 3880179 4623192 5173572 6035834 6164256 6898096 7760358 9053751 9246384 10347144 12071668 13796192 15520716 18107502 18492768 20694288 24143336 27161253 31041432 36215004 41388576 48286672 54322506 62082864 72430008 96573344 108645012 124165728 144860016 217290024 289720032 434580048 869160096