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13991760 = 2432519433
BaseRepresentation
bin110101010111…
…111101010000
3222022212002100
4311113331100
512040214020
61215520400
7226633206
oct65277520
928285070
1013991760
117997242
124829100
132b8b763
141c03076
151365a90
hexd57f50

13991760 has 60 divisors (see below), whose sum is σ = 46991412. Its totient is φ = 3730944.

The previous prime is 13991749. The next prime is 13991767. The reversal of 13991760 is 6719931.

It can be written as a sum of positive squares in 2 ways, for example, as 2862864 + 11128896 = 1692^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13991767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8997 + ... + 10436.

Almost surely, 213991760 is an apocalyptic number.

13991760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13991760 is an abundant number, since it is smaller than the sum of its proper divisors (32999652).

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

13991760 is a wasteful number, since it uses less digits than its factorization.

13991760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19452 (or 19443 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 13991760 is about 3740.5561083882. The cubic root of 13991760 is about 240.9669324418.

The spelling of 13991760 in words is "thirteen million, nine hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19433 38866 58299 77732 97165 116598 155464 174897 194330 233196 291495 310928 349794 388660 466392 582990 699588 777320 874485 932784 1165980 1399176 1554640 1748970 2331960 2798352 3497940 4663920 6995880 13991760