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188829060 = 223573114503
BaseRepresentation
bin10110100000101…
…00110110000100
3111011022111202220
423100110312010
5341320012220
630423132340
74452010020
oct1320246604
9434274686
10188829060
1197653082
12532a40b0
1330175794
141b115380
151189e540
hexb414d84

188829060 has 96 divisors (see below), whose sum is σ = 623788032. Its totient is φ = 41765760.

The previous prime is 188829059. The next prime is 188829073. The reversal of 188829060 is 60928881.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5769 + ... + 20271.

It is an arithmetic number, because the mean of its divisors is an integer number (6497792).

Almost surely, 2188829060 is an apocalyptic number.

188829060 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 188829060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311894016).

188829060 is an abundant number, since it is smaller than the sum of its proper divisors (434958972).

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

188829060 is a wasteful number, since it uses less digits than its factorization.

188829060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14553 (or 14551 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 188829060 is about 13741.5086507996. The cubic root of 188829060 is about 573.7062886469.

The spelling of 188829060 in words is "one hundred eighty-eight million, eight hundred twenty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 6510 13020 14503 29006 43509 58012 72515 87018 101521 145030 174036 203042 217545 290060 304563 406084 435090 449593 507605 609126 870180 899186 1015210 1218252 1348779 1522815 1798372 2030420 2247965 2697558 3045630 3147151 4495930 5395116 6091260 6294302 6743895 8991860 9441453 12588604 13487790 15735755 18882906 26975580 31471510 37765812 47207265 62943020 94414530 188829060