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14254272 = 263373113
BaseRepresentation
bin110110011000…
…000011000000
3222211012012000
4312120003000
512122114042
61225304000
7232105434
oct66300300
928735160
1014254272
11805649a
124935000
132c510a6
141c709c4
1513b874c
hexd980c0

14254272 has 112 divisors (see below), whose sum is σ = 42854880. Its totient is φ = 4644864.

The previous prime is 14254271. The next prime is 14254277. The reversal of 14254272 is 27245241.

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

It is not an unprimeable number, because it can be changed into a prime (14254271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126088 + ... + 126200.

Almost surely, 214254272 is an apocalyptic number.

14254272 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 14254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427440).

14254272 is an abundant number, since it is smaller than the sum of its proper divisors (28600608).

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

14254272 is a wasteful number, since it uses less digits than its factorization.

14254272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 14254272 is about 3775.4830154564. The cubic root of 14254272 is about 242.4646038960.

The spelling of 14254272 in words is "fourteen million, two hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 113 144 146 192 216 219 226 288 292 339 432 438 452 576 584 657 678 864 876 904 1017 1168 1314 1356 1728 1752 1808 1971 2034 2336 2628 2712 3051 3504 3616 3942 4068 4672 5256 5424 6102 7008 7232 7884 8136 8249 10512 10848 12204 14016 15768 16272 16498 21024 21696 24408 24747 31536 32544 32996 42048 48816 49494 63072 65088 65992 74241 97632 98988 126144 131984 148482 195264 197976 222723 263968 296964 395952 445446 527936 593928 791904 890892 1187856 1583808 1781784 2375712 3563568 4751424 7127136 14254272