Search a number
-
+
14195456 = 2811712
BaseRepresentation
bin110110001001…
…101100000000
3222201012111122
4312021230000
512113223311
61224131412
7231442112
oct66115400
928635448
1014195456
118016290
124906b68
132c303a2
141c573b2
1513a60db
hexd89b00

14195456 has 54 divisors (see below), whose sum is σ = 31352916. Its totient is φ = 6361600.

The previous prime is 14195437. The next prime is 14195473. The reversal of 14195456 is 65459141.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199901 + ... + 199971.

Almost surely, 214195456 is an apocalyptic number.

14195456 is a gapful number since it is divisible by the number (16) 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 14195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676458).

14195456 is an abundant number, since it is smaller than the sum of its proper divisors (17157460).

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

14195456 is an frugal number, since it uses more digits than its factorization.

14195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 84 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 14195456 is about 3767.6857618437. The cubic root of 14195456 is about 242.1306582190.

The spelling of 14195456 in words is "fourteen million, one hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 256 284 352 568 704 781 1136 1408 1562 2272 2816 3124 4544 5041 6248 9088 10082 12496 18176 20164 24992 40328 49984 55451 80656 99968 110902 161312 199936 221804 322624 443608 645248 887216 1290496 1774432 3548864 7097728 14195456