Search a number
-
+
856104960 = 213356967
BaseRepresentation
bin110011000001110…
…010000000000000
32012122220122020010
4303001302000000
53223130324320
6220541144520
730133525554
oct6301620000
92178818203
10856104960
113aa281367
121ba85b140
13108497ca9
14819b1864
155025aae0
hex33072000

856104960 has 112 divisors (see below), whose sum is σ = 2739761856. Its totient is φ = 228261888.

The previous prime is 856104943. The next prime is 856105009. The reversal of 856104960 is 69401658.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119397 + ... + 126363.

Almost surely, 2856104960 is an apocalyptic number.

856104960 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 856104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369880928).

856104960 is an abundant number, since it is smaller than the sum of its proper divisors (1883656896).

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

856104960 is an equidigital number, since it uses as much as digits as its factorization.

856104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7001 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 856104960 is about 29259.2713511461. The cubic root of 856104960 is about 949.5306860110.

The spelling of 856104960 in words is "eight hundred fifty-six million, one hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 6967 7680 8192 10240 12288 13934 15360 20480 20901 24576 27868 30720 34835 40960 41802 55736 61440 69670 83604 104505 111472 122880 139340 167208 209010 222944 278680 334416 418020 445888 557360 668832 836040 891776 1114720 1337664 1672080 1783552 2229440 2675328 3344160 3567104 4458880 5350656 6688320 7134208 8917760 10701312 13376640 14268416 17835520 21402624 26753280 28536832 35671040 42805248 53506560 57073664 71342080 85610496 107013120 142684160 171220992 214026240 285368320 428052480 856104960