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141590020 = 2251113311597
BaseRepresentation
bin10000111000001…
…11111000000100
3100212102111222211
420130013320010
5242221340040
622014433204
73336331615
oct1034077004
9325374884
10141590020
1172a18750
123b502804
1323445ca0
1414b39c0c
15c66c8ea
hex8707e04

141590020 has 96 divisors (see below), whose sum is σ = 360815616. Its totient is φ = 45964800.

The previous prime is 141590003. The next prime is 141590021. The reversal of 141590020 is 20095141.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 141589973 and 141590000.

It is not an unprimeable number, because it can be changed into a prime (141590021) by changing a digit.

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, 87862 + ... + 89458.

It is an arithmetic number, because the mean of its divisors is an integer number (3758496).

Almost surely, 2141590020 is an apocalyptic number.

141590020 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 141590020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180407808).

141590020 is an abundant number, since it is smaller than the sum of its proper divisors (219225596).

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

141590020 is a wasteful number, since it uses less digits than its factorization.

141590020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 141590020 is about 11899.1604745881. The cubic root of 141590020 is about 521.2077695450.

The spelling of 141590020 in words is "one hundred forty-one million, five hundred ninety thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 124 130 143 155 220 260 286 310 341 403 572 620 682 715 806 1364 1430 1597 1612 1705 2015 2860 3194 3410 4030 4433 6388 6820 7985 8060 8866 15970 17567 17732 20761 22165 31940 35134 41522 44330 49507 70268 83044 87835 88660 99014 103805 175670 198028 207610 228371 247535 351340 415220 456742 495070 544577 643591 913484 990140 1089154 1141855 1287182 2178308 2283710 2574364 2722885 3217955 4567420 5445770 6435910 7079501 10891540 12871820 14159002 28318004 35397505 70795010 141590020