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13991472 = 243211373
BaseRepresentation
bin110101010111…
…111000110000
3222022211200200
4311113320300
512040211342
61215515200
7226632315
oct65277060
928284620
1013991472
117997000
124828b00
132b8b5a1
141c02d0c
15136594c
hexd57e30

13991472 has 120 divisors (see below), whose sum is σ = 43659408. Its totient is φ = 4181760.

The previous prime is 13991449. The next prime is 13991479. The reversal of 13991472 is 27419931.

It is a super-2 number, since 2×139914722 = 391522577453568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13991479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191628 + ... + 191700.

Almost surely, 213991472 is an apocalyptic number.

13991472 is a gapful number since it is divisible by the number (12) 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 13991472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21829704).

13991472 is an abundant number, since it is smaller than the sum of its proper divisors (29667936).

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

13991472 is a wasteful number, since it uses less digits than its factorization.

13991472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 13991472 is about 3740.5176112405. The cubic root of 13991472 is about 240.9652791127.

The spelling of 13991472 in words is "thirteen million, nine hundred ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 73 88 99 121 132 144 146 176 198 219 242 264 292 363 396 438 484 528 584 657 726 792 803 876 968 1089 1168 1314 1331 1452 1584 1606 1752 1936 2178 2409 2628 2662 2904 3212 3504 3993 4356 4818 5256 5324 5808 6424 7227 7986 8712 8833 9636 10512 10648 11979 12848 14454 15972 17424 17666 19272 21296 23958 26499 28908 31944 35332 38544 47916 52998 57816 63888 70664 79497 95832 97163 105996 115632 141328 158994 191664 194326 211992 291489 317988 388652 423984 582978 635976 777304 874467 1165956 1271952 1554608 1748934 2331912 3497868 4663824 6995736 13991472