Search a number
-
+
146645616 = 24313235009
BaseRepresentation
bin10001011110110…
…10001001110000
3101012221100222010
420233122021300
5300020124431
622315042520
73430316145
oct1057321160
9335840863
10146645616
1175861027
1241140440
13244c6170
14156943cc
15cd1a846
hex8bda270

146645616 has 40 divisors (see below), whose sum is σ = 407977360. Its totient is φ = 45121536.

The previous prime is 146645581. The next prime is 146645623. The reversal of 146645616 is 616546641.

It is a happy number.

146645616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116881 + ... + 118128.

It is an arithmetic number, because the mean of its divisors is an integer number (10199434).

Almost surely, 2146645616 is an apocalyptic number.

146645616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146645616 is an abundant number, since it is smaller than the sum of its proper divisors (261331744).

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

146645616 is a wasteful number, since it uses less digits than its factorization.

146645616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235033 (or 235027 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 146645616 is about 12109.7322844066. The cubic root of 146645616 is about 527.3387613186.

The spelling of 146645616 in words is "one hundred forty-six million, six hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 235009 470018 705027 940036 1410054 1880072 2820108 3055117 3760144 5640216 6110234 9165351 11280432 12220468 18330702 24440936 36661404 48881872 73322808 146645616