Search a number
-
+
14317152 = 253293509
BaseRepresentation
bin110110100111…
…011001100000
3222221101102220
4312213121200
512131122102
61230511040
7232456653
oct66473140
928841386
1014317152
118099763
124965480
132c738b5
141c8989a
1513cc1bc
hexda7660

14317152 has 48 divisors (see below), whose sum is σ = 37784880. Its totient is φ = 4746752.

The previous prime is 14317129. The next prime is 14317157. The reversal of 14317152 is 25171341.

14317152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×143171522 = 409961682782208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14317157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27874 + ... + 28382.

It is an arithmetic number, because the mean of its divisors is an integer number (787185).

Almost surely, 214317152 is an apocalyptic number.

14317152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14317152 is an abundant number, since it is smaller than the sum of its proper divisors (23467728).

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

14317152 is a wasteful number, since it uses less digits than its factorization.

14317152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 14317152 is about 3783.8012632801. The cubic root of 14317152 is about 242.8206096965.

Adding to 14317152 its reverse (25171341), we get a palindrome (39488493).

The spelling of 14317152 in words is "fourteen million, three hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 293 509 586 879 1018 1172 1527 1758 2036 2344 3054 3516 4072 4688 6108 7032 8144 9376 12216 14064 16288 24432 28128 48864 149137 298274 447411 596548 894822 1193096 1789644 2386192 3579288 4772384 7158576 14317152