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15074896 = 242953613
BaseRepresentation
bin111001100000…
…011001010000
31001100212212111
4321200121100
512324344041
61255035104
7242064064
oct71403120
931325774
1015074896
118566aa1
12506ba94
13317a775
142005aa4
1514cb981
hexe60650

15074896 has 40 divisors (see below), whose sum is σ = 30835080. Its totient is φ = 7128576.

The previous prime is 15074893. The next prime is 15074911. The reversal of 15074896 is 69847051.

It can be written as a sum of positive squares in 4 ways, for example, as 360000 + 14714896 = 600^2 + 3836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15074893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24286 + ... + 24898.

It is an arithmetic number, because the mean of its divisors is an integer number (770877).

Almost surely, 215074896 is an apocalyptic number.

15074896 is a gapful number since it is divisible by the number (16) 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 15074896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15417540).

15074896 is an abundant number, since it is smaller than the sum of its proper divisors (15760184).

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

15074896 is a wasteful number, since it uses less digits than its factorization.

15074896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 15074896 is about 3882.6403387386. The cubic root of 15074896 is about 247.0309915382.

The spelling of 15074896 in words is "fifteen million, seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 613 848 1226 1537 2452 3074 4904 6148 9808 12296 17777 24592 32489 35554 64978 71108 129956 142216 259912 284432 519824 942181 1884362 3768724 7537448 15074896