Search a number
-
+
146088680 = 23512173001
BaseRepresentation
bin10001011010100…
…10001011101000
3101011220001222212
420231102023220
5244344314210
622255104252
73422506343
oct1055221350
9334801885
10146088680
1175510651
1240b12088
132435c80a
141558b45a
15cc5a805
hex8b522e8

146088680 has 32 divisors (see below), whose sum is σ = 329079240. Its totient is φ = 58368000.

The previous prime is 146088671. The next prime is 146088707. The reversal of 146088680 is 86880641.

It can be written as a sum of positive squares in 4 ways, for example, as 108951844 + 37136836 = 10438^2 + 6094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47180 + ... + 50180.

Almost surely, 2146088680 is an apocalyptic number.

146088680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146088680 is an abundant number, since it is smaller than the sum of its proper divisors (182990560).

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

146088680 is a wasteful number, since it uses less digits than its factorization.

146088680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 146088680 is about 12086.7150210469. The cubic root of 146088680 is about 526.6703323642.

The spelling of 146088680 in words is "one hundred forty-six million, eighty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 1217 2434 3001 4868 6002 6085 9736 12004 12170 15005 24008 24340 30010 48680 60020 120040 3652217 7304434 14608868 18261085 29217736 36522170 73044340 146088680