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20584380 = 2235343073
BaseRepresentation
bin100111010000…
…1011110111100
31102201210110110
41032201132330
520232200010
62013110020
7336651525
oct116413674
942653413
1020584380
111068a393
126a88310
13435940b
142a3b84c
151c19120
hex13a17bc

20584380 has 24 divisors (see below), whose sum is σ = 57636432. Its totient is φ = 5489152.

The previous prime is 20584373. The next prime is 20584393. The reversal of 20584380 is 8348502.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171477 + ... + 171596.

It is an arithmetic number, because the mean of its divisors is an integer number (2401518).

Almost surely, 220584380 is an apocalyptic number.

20584380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20584380 is an abundant number, since it is smaller than the sum of its proper divisors (37052052).

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

20584380 is a wasteful number, since it uses less digits than its factorization.

20584380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343085 (or 343083 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20584380 is about 4537.0012122546. The cubic root of 20584380 is about 274.0601746822.

The spelling of 20584380 in words is "twenty million, five hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 343073 686146 1029219 1372292 1715365 2058438 3430730 4116876 5146095 6861460 10292190 20584380