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13289616 = 243330763
BaseRepresentation
bin110010101100…
…100010010000
3221000011221000
4302230202100
511400231431
61152502000
7220650144
oct62544220
927004830
1013289616
11755775a
12454a900
1329a3ca2
141a9d224
1512779e6
hexcac890

13289616 has 40 divisors (see below), whose sum is σ = 38147360. Its totient is φ = 4429728.

The previous prime is 13289609. The next prime is 13289641. The reversal of 13289616 is 61698231.

13289616 is a `hidden beast` number, since 1 + 32 + 8 + 9 + 616 = 666.

It is a super-2 number, since 2×132896162 = 353227786854912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 14950 + ... + 15813.

It is an arithmetic number, because the mean of its divisors is an integer number (953684).

Almost surely, 213289616 is an apocalyptic number.

13289616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13289616 is an abundant number, since it is smaller than the sum of its proper divisors (24857744).

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

13289616 is a wasteful number, since it uses less digits than its factorization.

13289616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30780 (or 30768 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13289616 is about 3645.4925593121. The cubic root of 13289616 is about 236.8667733838.

The spelling of 13289616 in words is "thirteen million, two hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 30763 61526 92289 123052 184578 246104 276867 369156 492208 553734 738312 830601 1107468 1476624 1661202 2214936 3322404 4429872 6644808 13289616