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13994880 = 273537197
BaseRepresentation
bin110101011000…
…101110000000
3222100000100220
4311120232000
512040314010
61215543040
7226645254
oct65305600
928300326
1013994880
117999619
12482aa80
132b8ccc3
141c04264
151366970
hexd58b80

13994880 has 128 divisors (see below), whose sum is σ = 46046880. Its totient is φ = 3612672.

The previous prime is 13994873. The next prime is 13994923. The reversal of 13994880 is 8849931.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70942 + ... + 71138.

Almost surely, 213994880 is an apocalyptic number.

13994880 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 13994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23023440).

13994880 is an abundant number, since it is smaller than the sum of its proper divisors (32052000).

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

13994880 is a wasteful number, since it uses less digits than its factorization.

13994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 13994880 is about 3740.9731354288. The cubic root of 13994880 is about 240.9848420533.

The spelling of 13994880 in words is "thirteen million, nine hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 197 222 240 296 320 370 384 394 444 480 555 591 592 640 740 788 888 960 985 1110 1182 1184 1480 1576 1776 1920 1970 2220 2364 2368 2955 2960 3152 3552 3940 4440 4728 4736 5910 5920 6304 7104 7289 7880 8880 9456 11820 11840 12608 14208 14578 15760 17760 18912 21867 23640 23680 25216 29156 31520 35520 36445 37824 43734 47280 58312 63040 71040 72890 75648 87468 94560 109335 116624 126080 145780 174936 189120 218670 233248 291560 349872 378240 437340 466496 583120 699744 874680 932992 1166240 1399488 1749360 2332480 2798976 3498720 4664960 6997440 13994880