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188869120 = 2951119353
BaseRepresentation
bin10110100000111…
…10101000000000
3111011101112201121
423100132220000
5341322302440
630424042024
74452234556
oct1320365000
9434345647
10188869120
1197680190
1253303314
133018aa9b
141b125bd6
15118ab34a
hexb41ea00

188869120 has 160 divisors (see below), whose sum is σ = 521484480. Its totient is φ = 64880640.

The previous prime is 188869097. The next prime is 188869129. The reversal of 188869120 is 21968881.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (188869129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534864 + ... + 535216.

It is an arithmetic number, because the mean of its divisors is an integer number (3259278).

Almost surely, 2188869120 is an apocalyptic number.

188869120 is a gapful number since it is divisible by the number (10) 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 188869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260742240).

188869120 is an abundant number, since it is smaller than the sum of its proper divisors (332615360).

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

188869120 is a wasteful number, since it uses less digits than its factorization.

188869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The square root of 188869120 is about 13742.9662009335. The cubic root of 188869120 is about 573.7468562884.

The spelling of 188869120 in words is "one hundred eighty-eight million, eight hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 190 209 220 256 304 320 352 353 380 418 440 512 608 640 704 706 760 836 880 1045 1216 1280 1408 1412 1520 1672 1760 1765 2090 2432 2560 2816 2824 3040 3344 3520 3530 3883 4180 4864 5632 5648 6080 6688 6707 7040 7060 7766 8360 9728 11296 12160 13376 13414 14080 14120 15532 16720 19415 22592 24320 26752 26828 28160 28240 31064 33440 33535 38830 45184 48640 53504 53656 56480 62128 66880 67070 73777 77660 90368 107008 107312 112960 124256 133760 134140 147554 155320 180736 214624 225920 248512 267520 268280 295108 310640 368885 429248 451840 497024 535040 536560 590216 621280 737770 858496 903680 994048 1073120 1180432 1242560 1475540 1716992 1988096 2146240 2360864 2485120 2951080 3433984 4292480 4721728 4970240 5902160 8584960 9443456 9940480 11804320 17169920 18886912 23608640 37773824 47217280 94434560 188869120