Search a number
-
+
146116464 = 24313234161
BaseRepresentation
bin10001011010110…
…00111101110000
3101011221111002220
420231120331300
5244401211324
622255441040
73422653344
oct1055307560
9334844086
10146116464
117552a50a
1240b26180
132436c360
1415597624
15cc63b79
hex8b58f70

146116464 has 40 divisors (see below), whose sum is σ = 406505232. Its totient is φ = 44958720.

The previous prime is 146116459. The next prime is 146116469. The reversal of 146116464 is 464611641.

146116464 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 (146116459) and next prime (146116469).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146116469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116457 + ... + 117704.

Almost surely, 2146116464 is an apocalyptic number.

It is an amenable number.

146116464 is an abundant number, since it is smaller than the sum of its proper divisors (260388768).

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

146116464 is a wasteful number, since it uses less digits than its factorization.

146116464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234185 (or 234179 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 146116464 is about 12087.8643274981. The cubic root of 146116464 is about 526.7037186630.

The spelling of 146116464 in words is "one hundred forty-six million, one hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 234161 468322 702483 936644 1404966 1873288 2809932 3044093 3746576 5619864 6088186 9132279 11239728 12176372 18264558 24352744 36529116 48705488 73058232 146116464