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13607328 = 253720249
BaseRepresentation
bin110011111010…
…000110100000
3221121022202010
4303322012200
511440413303
61203352520
7223442340
oct63720640
927538663
1013607328
117754429
124682740
132a85797
141b42d20
1512dbc03
hexcfa1a0

13607328 has 48 divisors (see below), whose sum is σ = 40824000. Its totient is φ = 3887616.

The previous prime is 13607323. The next prime is 13607333. The reversal of 13607328 is 82370631.

It is an interprime number because it is at equal distance from previous prime (13607323) and next prime (13607333).

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

It is a junction number, because it is equal to n+sod(n) for n = 13607295 and 13607304.

It is not an unprimeable number, because it can be changed into a prime (13607323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9453 + ... + 10796.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 213607328 is an apocalyptic number.

It is an amenable number.

13607328 is an abundant number, since it is smaller than the sum of its proper divisors (27216672).

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

13607328 is a wasteful number, since it uses less digits than its factorization.

13607328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20269 (or 20261 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13607328 is about 3688.8111906141. The cubic root of 13607328 is about 238.7395024760.

Adding to 13607328 its reverse (82370631), we get a palindrome (95977959).

The spelling of 13607328 in words is "thirteen million, six hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 20249 40498 60747 80996 121494 141743 161992 242988 283486 323984 425229 485976 566972 647968 850458 971952 1133944 1700916 1943904 2267888 3401832 4535776 6803664 13607328