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14746068 = 22321572609
BaseRepresentation
bin111000010000…
…000111010100
31000202011210200
4320100013110
512233333233
61244020500
7236224311
oct70200724
930664720
1014746068
118361a37
124b31730
133093bac
141d5bd08
151464313
hexe101d4

14746068 has 36 divisors (see below), whose sum is σ = 37526580. Its totient is φ = 4882176.

The previous prime is 14746063. The next prime is 14746133. The reversal of 14746068 is 86064741.

14746068 is a `hidden beast` number, since 1 + 47 + 4 + 606 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5673924 + 9072144 = 2382^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14746063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4348 + ... + 6956.

It is an arithmetic number, because the mean of its divisors is an integer number (1042405).

Almost surely, 214746068 is an apocalyptic number.

14746068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14746068 is an abundant number, since it is smaller than the sum of its proper divisors (22780512).

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

14746068 is a wasteful number, since it uses less digits than its factorization.

14746068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 14746068 is about 3840.0609370165. The cubic root of 14746068 is about 245.2216126152.

The spelling of 14746068 in words is "fourteen million, seven hundred forty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2609 2826 5218 5652 7827 10436 15654 23481 31308 46962 93924 409613 819226 1228839 1638452 2457678 3686517 4915356 7373034 14746068