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14240448 = 26344167
BaseRepresentation
bin110110010100…
…101011000000
3222210111020000
4312110223000
512121143243
61225120000
7232020225
oct66245300
928714200
1014240448
118047072
124929000
132c47a01
141c6994c
1513b45d3
hexd94ac0

14240448 has 140 divisors (see below), whose sum is σ = 43888152. Its totient is φ = 4561920.

The previous prime is 14240437. The next prime is 14240459. The reversal of 14240448 is 84404241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14240437) and next prime (14240459).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212511 + ... + 212577.

Almost surely, 214240448 is an apocalyptic number.

14240448 is a gapful number since it is divisible by the number (18) 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 14240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21944076).

14240448 is an abundant number, since it is smaller than the sum of its proper divisors (29647704).

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

14240448 is an equidigital number, since it uses as much as digits as its factorization.

14240448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 14240448 is about 3773.6518122371. The cubic root of 14240448 is about 242.3861966456.

Adding to 14240448 its reverse (84404241), we get a palindrome (98644689).

The spelling of 14240448 in words is "fourteen million, two hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 67 72 81 82 96 108 123 134 144 162 164 192 201 216 246 268 288 324 328 369 402 432 492 536 576 603 648 656 738 804 864 984 1072 1107 1206 1296 1312 1476 1608 1728 1809 1968 2144 2214 2412 2592 2624 2747 2952 3216 3321 3618 3936 4288 4428 4824 5184 5427 5494 5904 6432 6642 7236 7872 8241 8856 9648 10854 10988 11808 12864 13284 14472 16482 17712 19296 21708 21976 23616 24723 26568 28944 32964 35424 38592 43416 43952 49446 53136 57888 65928 70848 74169 86832 87904 98892 106272 115776 131856 148338 173664 175808 197784 212544 222507 263712 296676 347328 395568 445014 527424 593352 791136 890028 1186704 1582272 1780056 2373408 3560112 4746816 7120224 14240448