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14394924 = 223237101107
BaseRepresentation
bin110110111010…
…011000101100
31000002100010100
4312322120230
512141114144
61232311100
7233232465
oct66723054
930070110
1014394924
118142135
1249a2490
132ca010b
141ca9d6c
1513e5269
hexdba62c

14394924 has 72 divisors (see below), whose sum is σ = 38093328. Its totient is φ = 4579200.

The previous prime is 14394917. The next prime is 14394929. The reversal of 14394924 is 42949341.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14394929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134479 + ... + 134585.

It is an arithmetic number, because the mean of its divisors is an integer number (529074).

Almost surely, 214394924 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 14394924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046664).

14394924 is an abundant number, since it is smaller than the sum of its proper divisors (23698404).

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

14394924 is a wasteful number, since it uses less digits than its factorization.

14394924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 250 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 14394924 is about 3794.0643115266. The cubic root of 14394924 is about 243.2594901140.

The spelling of 14394924 in words is "fourteen million, three hundred ninety-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 107 111 148 202 214 222 303 321 333 404 428 444 606 642 666 909 963 1212 1284 1332 1818 1926 3636 3737 3852 3959 7474 7918 10807 11211 11877 14948 15836 21614 22422 23754 32421 33633 35631 43228 44844 47508 64842 67266 71262 97263 129684 134532 142524 194526 389052 399859 799718 1199577 1599436 2399154 3598731 4798308 7197462 14394924