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13070496 = 253173787
BaseRepresentation
bin110001110111…
…000010100000
3220121001100110
4301313002200
511321223441
61144051320
7216045255
oct61670240
926531313
1013070496
11741806a
124463b40
13292832a
141a4342c
151232b16
hexc770a0

13070496 has 48 divisors (see below), whose sum is σ = 34552224. Its totient is φ = 4326144.

The previous prime is 13070479. The next prime is 13070507. The reversal of 13070496 is 69407031.

13070496 = T299 + T300 + ... + T471.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16215 + ... + 17001.

It is an arithmetic number, because the mean of its divisors is an integer number (719838).

Almost surely, 213070496 is an apocalyptic number.

13070496 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 13070496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17276112).

13070496 is an abundant number, since it is smaller than the sum of its proper divisors (21481728).

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

13070496 is a wasteful number, since it uses less digits than its factorization.

13070496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 13070496 is about 3615.3140942386. The cubic root of 13070496 is about 235.5577276542.

The spelling of 13070496 in words is "thirteen million, seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 787 1038 1384 1574 2076 2361 2768 3148 4152 4722 5536 6296 8304 9444 12592 16608 18888 25184 37776 75552 136151 272302 408453 544604 816906 1089208 1633812 2178416 3267624 4356832 6535248 13070496