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20376540 = 22325176659
BaseRepresentation
bin100110110111…
…0101111011100
31102100020100200
41031232233130
520204022130
62004423500
7335124552
oct115565734
942306320
1020376540
1110558218
1269a7b90
1342b5932
1429c5bd2
151bc7760
hex136ebdc

20376540 has 72 divisors (see below), whose sum is σ = 65454480. Its totient is φ = 5113344.

The previous prime is 20376527. The next prime is 20376541. The reversal of 20376540 is 4567302.

It is a happy number.

20376540 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 654 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20376541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270 + ... + 6389.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 220376540 is an apocalyptic number.

20376540 is a gapful number since it is divisible by the number (20) 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 20376540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32727240).

20376540 is an abundant number, since it is smaller than the sum of its proper divisors (45077940).

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

20376540 is a wasteful number, since it uses less digits than its factorization.

20376540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20376540 is about 4514.0381035166. The cubic root of 20376540 is about 273.1346596468.

The spelling of 20376540 in words is "twenty million, three hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6659 13318 19977 26636 33295 39954 59931 66590 79908 99885 113203 119862 133180 199770 226406 239724 299655 339609 399540 452812 566015 599310 679218 1018827 1132030 1198620 1358436 1698045 2037654 2264060 3396090 4075308 5094135 6792180 10188270 20376540