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157282020 = 22335741609
BaseRepresentation
bin10010101111111…
…10111011100100
3101221221202101000
421113332323210
5310231011040
623335033300
73616606110
oct1127767344
9357852330
10157282020
1180866345
124480b830
132677b5ac
1416c62740
15dc1c130
hex95feee4

157282020 has 96 divisors (see below), whose sum is σ = 559238400. Its totient is φ = 35949312.

The previous prime is 157282001. The next prime is 157282033. The reversal of 157282020 is 20282751.

157282020 is digitally balanced in base 3, 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 (27).

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, 17025 + ... + 24584.

It is an arithmetic number, because the mean of its divisors is an integer number (5825400).

Almost surely, 2157282020 is an apocalyptic number.

157282020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157282020 is an abundant number, since it is smaller than the sum of its proper divisors (401956380).

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

157282020 is a wasteful number, since it uses less digits than its factorization.

157282020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41634 (or 41626 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 157282020 is about 12541.2128600068. The cubic root of 157282020 is about 539.7918951196.

The spelling of 157282020 in words is "one hundred fifty-seven million, two hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 41609 83218 124827 166436 208045 249654 291263 374481 416090 499308 582526 624135 748962 832180 873789 1123443 1165052 1248270 1456315 1497924 1747578 1872405 2246886 2496540 2621367 2912630 3495156 3744810 4368945 4493772 5242734 5617215 5825260 7489620 7864101 8737890 10485468 11234430 13106835 15728202 17475780 22468860 26213670 31456404 39320505 52427340 78641010 157282020