[go: up one dir, main page]

Search a number
-
+
14913536 = 21211331
BaseRepresentation
bin111000111001…
…000000000000
31001001200112012
4320321000000
512304213121
61251352052
7240522461
oct70710000
931050465
1014913536
118466840
124bb2628
1331221a1
141da2d68
151498c5b
hexe39000

14913536 has 52 divisors (see below), whose sum is σ = 32632944. Its totient is φ = 6758400.

The previous prime is 14913533. The next prime is 14913557. The reversal of 14913536 is 63531941.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (14913533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44891 + ... + 45221.

Almost surely, 214913536 is an apocalyptic number.

14913536 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 14913536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316472).

14913536 is an abundant number, since it is smaller than the sum of its proper divisors (17719408).

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

14913536 is an equidigital number, since it uses as much as digits as its factorization.

14913536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 14913536 is about 3861.8047594357. The cubic root of 14913536 is about 246.1464305458.

The spelling of 14913536 in words is "fourteen million, nine hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 331 352 512 662 704 1024 1324 1408 2048 2648 2816 3641 4096 5296 5632 7282 10592 11264 14564 21184 22528 29128 42368 45056 58256 84736 116512 169472 233024 338944 466048 677888 932096 1355776 1864192 3728384 7456768 14913536