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20377530 = 2325257881
BaseRepresentation
bin100110110111…
…0111110111010
31102100021201100
41031232332322
520204040110
62004432230
7335130465
oct115567672
942307640
1020377530
1110558a38
1269a8676
1342b6214
1429c62dc
151bc7bc0
hex136efba

20377530 has 48 divisors (see below), whose sum is σ = 53248104. Its totient is φ = 5406720.

The previous prime is 20377499. The next prime is 20377537. The reversal of 20377530 is 3577302.

It can be written as a sum of positive squares in 4 ways, for example, as 18481401 + 1896129 = 4299^2 + 1377^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20377494 and 20377503.

It is not an unprimeable number, because it can be changed into a prime (20377537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22690 + ... + 23570.

Almost surely, 220377530 is an apocalyptic number.

20377530 is an abundant number, since it is smaller than the sum of its proper divisors (32870574).

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

20377530 is a wasteful number, since it uses less digits than its factorization.

20377530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 20377530 is about 4514.1477600982. The cubic root of 20377530 is about 273.1390830169.

The spelling of 20377530 in words is "twenty million, three hundred seventy-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 514 771 881 1285 1542 1762 2313 2570 2643 3855 4405 4626 5286 7710 7929 8810 11565 13215 15858 23130 26430 39645 79290 226417 452834 679251 1132085 1358502 2037753 2264170 3396255 4075506 6792510 10188765 20377530