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188113320 = 23335237573
BaseRepresentation
bin10110011011001…
…10000110101000
3111002222010222000
423031212012220
5341124111240
630355531000
74442636223
oct1315460650
9432863860
10188113320
119720435a
1252bb9a60
132cc84a75
141adaa5ba
15117ac430
hexb3661a8

188113320 has 128 divisors (see below), whose sum is σ = 654393600. Its totient is φ = 47976192.

The previous prime is 188113283. The next prime is 188113333. The reversal of 188113320 is 23311881.

It is a super-2 number, since 2×1881133202 = 70773242322844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21054 + ... + 28626.

It is an arithmetic number, because the mean of its divisors is an integer number (5112450).

Almost surely, 2188113320 is an apocalyptic number.

188113320 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 188113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327196800).

188113320 is an abundant number, since it is smaller than the sum of its proper divisors (466280280).

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

188113320 is a wasteful number, since it uses less digits than its factorization.

188113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 188113320 is about 13715.4409334881. The cubic root of 188113320 is about 572.9805097397.

The spelling of 188113320 in words is "one hundred eighty-eight million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 6210 7573 8280 12420 15146 22719 24840 30292 37865 45438 60584 68157 75730 90876 113595 136314 151460 174179 181752 204471 227190 272628 302920 340785 348358 408942 454380 522537 545256 681570 696716 817884 870895 908760 1022355 1045074 1363140 1393432 1567611 1635768 1741790 2044710 2090148 2612685 2726280 3135222 3483580 4089420 4180296 4702833 5225370 6270444 6967160 7838055 8178840 9405666 10450740 12540888 15676110 18811332 20901480 23514165 31352220 37622664 47028330 62704440 94056660 188113320