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14780164 = 2272731033
BaseRepresentation
bin111000011000…
…011100000100
31000210220120111
4320120130010
512240431124
61244442404
7236425600
oct70303404
930726514
1014780164
118385613
124b49404
1330a6579
141d6a500
15146e494
hexe18704

14780164 has 36 divisors (see below), whose sum is σ = 30529884. Its totient is φ = 6241536.

The previous prime is 14780159. The next prime is 14780167. The reversal of 14780164 is 46108741.

It can be written as a sum of positive squares in 2 ways, for example, as 11957764 + 2822400 = 3458^2 + 1680^2 .

It is not an unprimeable number, because it can be changed into a prime (14780167) 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, 13792 + ... + 14824.

Almost surely, 214780164 is an apocalyptic number.

14780164 is a gapful number since it is divisible by the number (14) 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 14780164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264942).

14780164 is an abundant number, since it is smaller than the sum of its proper divisors (15749720).

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

14780164 is a wasteful number, since it uses less digits than its factorization.

14780164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 14780164 is about 3844.4978865907. The cubic root of 14780164 is about 245.4104683875.

The spelling of 14780164 in words is "fourteen million, seven hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 1033 2044 2066 3577 4132 7154 7231 14308 14462 28924 50617 75409 101234 150818 202468 301636 527863 1055726 2111452 3695041 7390082 14780164