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2430896 = 241322931
BaseRepresentation
bin1001010001011110110000
311120111120012
421101132300
51110242041
6124034052
726443106
oct11213660
94514505
102430896
111410406
12992928
13671600
14473c76
153303eb
hex2517b0

2430896 has 60 divisors (see below), whose sum is σ = 5446080. Its totient is φ = 1048320.

The previous prime is 2430877. The next prime is 2430913. The reversal of 2430896 is 6980342.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78401 + ... + 78431.

It is an arithmetic number, because the mean of its divisors is an integer number (90768).

22430896 is an apocalyptic number.

2430896 is a gapful number since it is divisible by the number (26) 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 2430896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723040).

2430896 is an abundant number, since it is smaller than the sum of its proper divisors (3015184).

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

2430896 is a wasteful number, since it uses less digits than its factorization.

2430896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2430896 is about 1559.1330924588. The cubic root of 2430896 is about 134.4586643936.

The spelling of 2430896 in words is "two million, four hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 31 52 58 62 104 116 124 169 208 232 248 338 377 403 464 496 676 754 806 899 1352 1508 1612 1798 2704 3016 3224 3596 4901 5239 6032 6448 7192 9802 10478 11687 14384 19604 20956 23374 39208 41912 46748 78416 83824 93496 151931 186992 303862 607724 1215448 2430896