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13439328 = 253722857
BaseRepresentation
bin110011010001…
…000101100000
3221021210021220
4303101011200
511420024303
61200015040
7222142500
oct63210540
927253256
1013439328
11764a191
124601480
132a27186
141adba00
1512a7053
hexcd1160

13439328 has 72 divisors (see below), whose sum is σ = 41052312. Its totient is φ = 3838464.

The previous prime is 13439317. The next prime is 13439339. The reversal of 13439328 is 82393431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13439317) and next prime (13439339).

It is a congruent number.

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, 3276 + ... + 6132.

It is an arithmetic number, because the mean of its divisors is an integer number (570171).

Almost surely, 213439328 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 13439328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20526156).

13439328 is an abundant number, since it is smaller than the sum of its proper divisors (27612984).

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

13439328 is a wasteful number, since it uses less digits than its factorization.

13439328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2869 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 13439328 is about 3665.9689033051. The cubic root of 13439328 is about 237.7529154298.

It can be divided in two parts, 134393 and 28, that added together give a triangular number (134421 = T518).

The spelling of 13439328 in words is "thirteen million, four hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 2857 4704 5714 8571 11428 17142 19999 22856 34284 39998 45712 59997 68568 79996 91424 119994 137136 139993 159992 239988 274272 279986 319984 419979 479976 559972 639968 839958 959952 1119944 1679916 1919904 2239888 3359832 4479776 6719664 13439328