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254090664 = 23323529037
BaseRepresentation
bin11110010010100…
…01110110101000
3122201010010212100
433021101312220
51010021400124
641114013400
76203510052
oct1711216650
9581103770
10254090664
11120478093
1271117260
1340845609
1425a628d2
15174911c9
hexf251da8

254090664 has 24 divisors (see below), whose sum is σ = 688162410. Its totient is φ = 84696864.

The previous prime is 254090657. The next prime is 254090671. The reversal of 254090664 is 466090452.

254090664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254090657) and next prime (254090671).

It can be written as a sum of positive squares in only one way, i.e., 144720900 + 109369764 = 12030^2 + 10458^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 1764447 + ... + 1764590.

Almost surely, 2254090664 is an apocalyptic number.

254090664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

254090664 is an abundant number, since it is smaller than the sum of its proper divisors (434071746).

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

254090664 is a wasteful number, since it uses less digits than its factorization.

254090664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529049 (or 3529042 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 254090664 is about 15940.2215793884. The cubic root of 254090664 is about 633.3778955410.

The spelling of 254090664 in words is "two hundred fifty-four million, ninety thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3529037 7058074 10587111 14116148 21174222 28232296 31761333 42348444 63522666 84696888 127045332 254090664