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6042960 = 24325711109
BaseRepresentation
bin10111000011010101010000
3102101000101100
4113003111100
53021333320
6333304400
7102235650
oct27032520
912330340
106042960
113458190
122035100
131337721
14b34360
157e5790
hex5c3550

6042960 has 240 divisors, whose sum is σ = 25534080. Its totient is φ = 1244160.

The previous prime is 6042943. The next prime is 6042983. The reversal of 6042960 is 692406.

6042960 = T441 + T442 + ... + T495.

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

It is a congruent number.

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, 55386 + ... + 55494.

It is an arithmetic number, because the mean of its divisors is an integer number (106392).

Almost surely, 26042960 is an apocalyptic number.

6042960 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 6042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767040).

6042960 is an abundant number, since it is smaller than the sum of its proper divisors (19491120).

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

6042960 is a wasteful number, since it uses less digits than its factorization.

6042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6042960 is about 2458.2432751866. The cubic root of 6042960 is about 182.1447144315.

The spelling of 6042960 in words is "six million, forty-two thousand, nine hundred sixty".