Search a number
-
+
63439920 = 24325177173
BaseRepresentation
bin1111001000000…
…0010000110000
311102101002012200
43302000100300
5112220034140
610143423200
71400142015
oct362002060
9142332180
1063439920
11328a0395
12192b4b00
13101b291b
1485d570c
155882030
hex3c80430

63439920 has 240 divisors, whose sum is σ = 231895872. Its totient is φ = 15482880.

The previous prime is 63439897. The next prime is 63439949. The reversal of 63439920 is 2993436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869004 + ... + 869076.

Almost surely, 263439920 is an apocalyptic number.

63439920 is a gapful number since it is divisible by the number (60) 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 63439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115947936).

63439920 is an abundant number, since it is smaller than the sum of its proper divisors (168455952).

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

63439920 is a wasteful number, since it uses less digits than its factorization.

63439920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 63439920 is about 7964.9180786748. The cubic root of 63439920 is about 398.8297462711.

The spelling of 63439920 in words is "sixty-three million, four hundred thirty-nine thousand, nine hundred twenty".