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13799760 = 2435134423
BaseRepresentation
bin110100101001…
…000101010000
3221222002201020
4310221011100
512013043020
61211435440
7225203352
oct64510520
927862636
1013799760
117875a67
124755b80
132b22250
141b930d2
151328c40
hexd29150

13799760 has 80 divisors (see below), whose sum is σ = 46080384. Its totient is φ = 3396096.

The previous prime is 13799759. The next prime is 13799761. The reversal of 13799760 is 6799731.

It is an interprime number because it is at equal distance from previous prime (13799759) and next prime (13799761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13799761) 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, 909 + ... + 5331.

Almost surely, 213799760 is an apocalyptic number.

13799760 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 13799760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040192).

13799760 is an abundant number, since it is smaller than the sum of its proper divisors (32280624).

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

13799760 is a wasteful number, since it uses less digits than its factorization.

13799760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 13799760 is about 3714.8028211468. The cubic root of 13799760 is about 239.8596401512.

The spelling of 13799760 in words is "thirteen million, seven hundred ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4423 8846 13269 17692 22115 26538 35384 44230 53076 57499 66345 70768 88460 106152 114998 132690 172497 176920 212304 229996 265380 287495 344994 353840 459992 530760 574990 689988 862485 919984 1061520 1149980 1379976 1724970 2299960 2759952 3449940 4599920 6899880 13799760