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20155392 = 21039
BaseRepresentation
bin100110011100…
…0110000000000
31101221000000000
41030320300000
520124433032
62000000000
7333214035
oct114706000
941830000
1020155392
1110417054
126900000
13423908a
14296938c
151b81e7c
hex1338c00

20155392 has 110 divisors (see below), whose sum is σ = 60435628. Its totient is φ = 6718464.

The previous prime is 20155367. The next prime is 20155411. The reversal of 20155392 is 29355102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (3!)9 ⋅ 2!.

20155392 is a `hidden beast` number, since 20 + 1 + 553 + 92 = 666.

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

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6718463 + 6718464 + 6718465.

Almost surely, 220155392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20155392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30217814).

20155392 is an abundant number, since it is smaller than the sum of its proper divisors (40280236).

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

20155392 is an frugal number, since it uses more digits than its factorization.

20155392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 20155392 is about 4489.4756932185. The cubic root of 20155392 is about 272.1429467773.

Multiplying 20155392 by its sum of digits (27), we get a square (544195584 = 233282).

20155392 divided by its sum of digits (27) gives a square (746496 = 8642).

Multiplying 20155392 by its product of nonzero digits (2700), we get a square (54419558400 = 2332802).

The spelling of 20155392 in words is "twenty million, one hundred fifty-five thousand, three hundred ninety-two".