Search a number
-
+
12954384 = 2433157191
BaseRepresentation
bin110001011010…
…101100010000
3220101011002000
4301122230100
511304020014
61141354000
7215052612
oct61325420
926334060
1012954384
117348903
124408900
1328b7521
141a12db2
15120d509
hexc5ab10

12954384 has 80 divisors (see below), whose sum is σ = 37616640. Its totient is φ = 4268160.

The previous prime is 12954379. The next prime is 12954407. The reversal of 12954384 is 48345921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67729 + ... + 67919.

It is an arithmetic number, because the mean of its divisors is an integer number (470208).

Almost surely, 212954384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12954384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808320).

12954384 is an abundant number, since it is smaller than the sum of its proper divisors (24662256).

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

12954384 is a wasteful number, since it uses less digits than its factorization.

12954384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12954384 is about 3599.2199154817. The cubic root of 12954384 is about 234.8581247152.

The spelling of 12954384 in words is "twelve million, nine hundred fifty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 191 216 314 382 432 471 573 628 764 942 1146 1256 1413 1528 1719 1884 2292 2512 2826 3056 3438 3768 4239 4584 5157 5652 6876 7536 8478 9168 10314 11304 13752 16956 20628 22608 27504 29987 33912 41256 59974 67824 82512 89961 119948 179922 239896 269883 359844 479792 539766 719688 809649 1079532 1439376 1619298 2159064 3238596 4318128 6477192 12954384