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20357136 = 243347123
BaseRepresentation
bin100110110101…
…0000000010000
31102022020202000
41031222000100
520202412021
62004154000
7335014152
oct115520020
942266660
1020357136
1110544688
126998900
1342a9b57
1429bcad2
151bc1b26
hex136a010

20357136 has 40 divisors (see below), whose sum is σ = 58433760. Its totient is φ = 6785568.

The previous prime is 20357131. The next prime is 20357147. The reversal of 20357136 is 63175302.

It is a happy number.

It is a super-2 number, since 2×203571362 = 828825972244992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20357131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23130 + ... + 23993.

It is an arithmetic number, because the mean of its divisors is an integer number (1460844).

Almost surely, 220357136 is an apocalyptic number.

It is an amenable number.

20357136 is an abundant number, since it is smaller than the sum of its proper divisors (38076624).

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

20357136 is a wasteful number, since it uses less digits than its factorization.

20357136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47140 (or 47128 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 20357136 is about 4511.8882964896. Note that the first 3 decimals coincide. The cubic root of 20357136 is about 273.0479326535.

The spelling of 20357136 in words is "twenty million, three hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 47123 94246 141369 188492 282738 376984 424107 565476 753968 848214 1130952 1272321 1696428 2261904 2544642 3392856 5089284 6785712 10178568 20357136