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13495144 = 2313172449
BaseRepresentation
bin110011011110…
…101101101000
3221101121212011
4303132231220
511423321034
61201125304
7222464305
oct63365550
927347764
1013495144
117688113
124629834
132a466c0
141b140ac
1512b8864
hexcdeb68

13495144 has 48 divisors (see below), whose sum is σ = 29011500. Its totient is φ = 5849088.

The previous prime is 13495133. The next prime is 13495151. The reversal of 13495144 is 44159431.

It can be written as a sum of positive squares in 6 ways, for example, as 8820900 + 4674244 = 2970^2 + 2162^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 29832 + ... + 30280.

Almost surely, 213495144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13495144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14505750).

13495144 is an abundant number, since it is smaller than the sum of its proper divisors (15516356).

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

13495144 is a wasteful number, since it uses less digits than its factorization.

13495144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 481 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 13495144 is about 3673.5737368399. The cubic root of 13495144 is about 238.0816046695.

The spelling of 13495144 in words is "thirteen million, four hundred ninety-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 449 578 884 898 1156 1768 1796 2312 3592 3757 5837 7514 7633 11674 15028 15266 23348 30056 30532 46696 61064 99229 129761 198458 259522 396916 519044 793832 1038088 1686893 3373786 6747572 13495144