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188860680 = 23335315641
BaseRepresentation
bin10110100000111…
…00100100001000
3111011101010011000
423100130210020
5341322020210
630423535000
74452201141
oct1320344410
9434333130
10188860680
1197674908
12532ba460
1330186ca8
141b122ac8
15118a8ac0
hexb41c908

188860680 has 128 divisors (see below), whose sum is σ = 649958400. Its totient is φ = 48729600.

The previous prime is 188860669. The next prime is 188860723. The reversal of 188860680 is 86068881.

Added to its reverse (86068881) it gives a square (274929561 = 165812).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30660 + ... + 36300.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2188860680 is an apocalyptic number.

188860680 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 188860680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

188860680 is an abundant number, since it is smaller than the sum of its proper divisors (461097720).

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

188860680 is a wasteful number, since it uses less digits than its factorization.

188860680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 188860680 is about 13742.6591313326. The cubic root of 188860680 is about 573.7383098135.

Adding to 188860680 its reverse (86068881), we get a square (274929561 = 165812).

The spelling of 188860680 in words is "one hundred eighty-eight million, eight hundred sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 5641 6696 8370 11160 11282 16740 16923 22564 28205 33480 33846 45128 50769 56410 67692 84615 101538 112820 135384 152307 169230 174871 203076 225640 253845 304614 338460 349742 406152 507690 524613 609228 676920 699484 761535 874355 1015380 1049226 1218456 1398968 1523070 1573839 1748710 2030760 2098452 2623065 3046140 3147678 3497420 4196904 4721517 5246130 6092280 6295356 6994840 7869195 9443034 10492260 12590712 15738390 18886068 20984520 23607585 31476780 37772136 47215170 62953560 94430340 188860680