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13399120 = 245771337
BaseRepresentation
bin110011000111…
…010001010000
3221012202010201
4303013101100
511412232440
61155104544
7221614330
oct63072120
927182121
1013399120
117621a59
1245a2154
132a11a97
141acb0c0
15129a19a
hexcc7450

13399120 has 80 divisors (see below), whose sum is σ = 36211968. Its totient is φ = 4515840.

The previous prime is 13399117. The next prime is 13399121. The reversal of 13399120 is 2199331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13399121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39592 + ... + 39928.

Almost surely, 213399120 is an apocalyptic number.

13399120 is a gapful number since it is divisible by the number (10) 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 13399120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984).

13399120 is an abundant number, since it is smaller than the sum of its proper divisors (22812848).

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

13399120 is a wasteful number, since it uses less digits than its factorization.

13399120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 13399120 is about 3660.4808427309. The cubic root of 13399120 is about 237.5155742326.

The spelling of 13399120 in words is "thirteen million, three hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 140 142 280 284 337 355 497 560 568 674 710 994 1136 1348 1420 1685 1988 2359 2485 2696 2840 3370 3976 4718 4970 5392 5680 6740 7952 9436 9940 11795 13480 18872 19880 23590 23927 26960 37744 39760 47180 47854 94360 95708 119635 167489 188720 191416 239270 334978 382832 478540 669956 837445 957080 1339912 1674890 1914160 2679824 3349780 6699560 13399120