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188421240 = 23357415471
BaseRepresentation
bin10110011101100…
…01010001111000
3111010112210100110
423032301101320
5341213434430
630410304320
74445361030
oct1316612170
9433483313
10188421240
11973a4737
12531280a0
1330061c77
141b04a8c0
151181d7b0
hexb3b1478

188421240 has 128 divisors (see below), whose sum is σ = 661893120. Its totient is φ = 42009600.

The previous prime is 188421229. The next prime is 188421263. The reversal of 188421240 is 42124881.

188421240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 188421198 and 188421207.

It is a congruent number.

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, 31705 + ... + 37175.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2188421240 is an apocalyptic number.

188421240 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 188421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

188421240 is an abundant number, since it is smaller than the sum of its proper divisors (473471880).

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

188421240 is a wasteful number, since it uses less digits than its factorization.

188421240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 188421240 is about 13726.6616480483. The cubic root of 188421240 is about 573.2929738431.

The spelling of 188421240 in words is "one hundred eighty-eight million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 2296 2460 2870 3444 4305 4920 5471 5740 6888 8610 10942 11480 16413 17220 21884 27355 32826 34440 38297 43768 54710 65652 76594 82065 109420 114891 131304 153188 164130 191485 218840 224311 229782 306376 328260 382970 448622 459564 574455 656520 672933 765940 897244 919128 1121555 1148910 1345866 1531880 1570177 1794488 2243110 2297820 2691732 3140354 3364665 4486220 4595640 4710531 5383464 6280708 6729330 7850885 8972440 9421062 12561416 13458660 15701770 18842124 23552655 26917320 31403540 37684248 47105310 62807080 94210620 188421240