Search a number
-
+
13979280 = 2435753157
BaseRepresentation
bin110101010100…
…111010010000
3222022012222010
4311110322100
512034314110
61215342520
7226551630
oct65247220
928265863
1013979280
117988927
124821a40
132b85b83
141bdc6c0
151362020
hexd54e90

13979280 has 160 divisors (see below), whose sum is σ = 50782464. Its totient is φ = 3115008.

The previous prime is 13979279. The next prime is 13979291. The reversal of 13979280 is 8297931.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88962 + ... + 89118.

Almost surely, 213979280 is an apocalyptic number.

13979280 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 13979280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25391232).

13979280 is an abundant number, since it is smaller than the sum of its proper divisors (36803184).

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

13979280 is a wasteful number, since it uses less digits than its factorization.

13979280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 13979280 is about 3738.8875350831. The cubic root of 13979280 is about 240.8952673600.

The spelling of 13979280 in words is "thirteen million, nine hundred seventy-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 157 159 168 210 212 240 265 280 314 318 336 371 420 424 471 530 560 628 636 742 785 795 840 848 942 1060 1099 1113 1256 1272 1484 1570 1590 1680 1855 1884 2120 2198 2226 2355 2512 2544 2968 3140 3180 3297 3710 3768 4240 4396 4452 4710 5495 5565 5936 6280 6360 6594 7420 7536 8321 8792 8904 9420 10990 11130 12560 12720 13188 14840 16485 16642 17584 17808 18840 21980 22260 24963 26376 29680 32970 33284 37680 41605 43960 44520 49926 52752 58247 65940 66568 83210 87920 89040 99852 116494 124815 131880 133136 166420 174741 199704 232988 249630 263760 291235 332840 349482 399408 465976 499260 582470 665680 698964 873705 931952 998520 1164940 1397928 1747410 1997040 2329880 2795856 3494820 4659760 6989640 13979280