Search a number
-
+
904027068 = 2238721937
BaseRepresentation
bin110101111000100…
…101101110111100
32100000002100000000
4311320211232330
53322412331233
6225412234300
731255050300
oct6570455674
92300070000
10904027068
11424332a0a
1221290b990
131153a6679
14880c7d00
1554574d13
hex35e25bbc

904027068 has 324 divisors, whose sum is σ = 2984184840. Its totient is φ = 238085568.

The previous prime is 904027043. The next prime is 904027073. The reversal of 904027068 is 860720409.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 24433146 + ... + 24433182.

Almost surely, 2904027068 is an apocalyptic number.

904027068 is a gapful number since it is divisible by the number (98) 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 904027068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492092420).

904027068 is an abundant number, since it is smaller than the sum of its proper divisors (2080157772).

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

904027068 is a wasteful number, since it uses less digits than its factorization.

904027068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 904027068 is about 30067.0428875205. The cubic root of 904027068 is about 966.9272759625.

The spelling of 904027068 in words is "nine hundred four million, twenty-seven thousand, sixty-eight".