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188961640 = 23572229421
BaseRepresentation
bin10110100001101…
…01001101101000
3111011120020122021
423100311031220
5341333233030
630430034224
74453101400
oct1320651550
9434506567
10188961640
119773374a
1253348974
13301c0c2a
141b14b800
15118c897a
hexb435368

188961640 has 96 divisors (see below), whose sum is σ = 497917800. Its totient is φ = 64350720.

The previous prime is 188961599. The next prime is 188961671. The reversal of 188961640 is 46169881.

It can be written as a sum of positive squares in 4 ways, for example, as 135349956 + 53611684 = 11634^2 + 7322^2 .

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 23 ways as a sum of consecutive naturals, for example, 448630 + ... + 449050.

Almost surely, 2188961640 is an apocalyptic number.

188961640 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 188961640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248958900).

188961640 is an abundant number, since it is smaller than the sum of its proper divisors (308956160).

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

188961640 is a wasteful number, since it uses less digits than its factorization.

188961640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 188961640 is about 13746.3318743583. The cubic root of 188961640 is about 573.8405267866.

The spelling of 188961640 in words is "one hundred eighty-eight million, nine hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 229 245 280 392 421 458 490 842 916 980 1145 1603 1684 1832 1960 2105 2290 2947 3206 3368 4210 4580 5894 6412 8015 8420 9160 11221 11788 12824 14735 16030 16840 20629 22442 23576 29470 32060 41258 44884 56105 58940 64120 82516 89768 96409 103145 112210 117880 165032 192818 206290 224420 385636 412580 448840 482045 674863 771272 825160 964090 1349726 1928180 2699452 3374315 3856360 4724041 5398904 6748630 9448082 13497260 18896164 23620205 26994520 37792328 47240410 94480820 188961640