Search a number
-
+
20595120 = 24357132341
BaseRepresentation
bin100111010010…
…0000110110000
31102202100012020
41032210012300
520233020440
62013231440
7340025040
oct116440660
942670166
1020595120
1110697467
126a92580
134361280
142a41720
151c1c3d0
hex13a41b0

20595120 has 320 divisors, whose sum is σ = 83994624. Its totient is φ = 4055040.

The previous prime is 20595119. The next prime is 20595121. The reversal of 20595120 is 2159502.

It is an interprime number because it is at equal distance from previous prime (20595119) and next prime (20595121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20595121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502300 + ... + 502340.

Almost surely, 220595120 is an apocalyptic number.

20595120 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 20595120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41997312).

20595120 is an abundant number, since it is smaller than the sum of its proper divisors (63399504).

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

20595120 is a wasteful number, since it uses less digits than its factorization.

20595120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 20595120 is about 4538.1846590900. The cubic root of 20595120 is about 274.1078304696.

The spelling of 20595120 in words is "twenty million, five hundred ninety-five thousand, one hundred twenty".