Search a number
-
+
146071376 = 24112928619
BaseRepresentation
bin10001011010011…
…01111101010000
3101011212012020222
420231031331100
5244343241001
622254452212
73422405033
oct1055157520
9334765228
10146071376
11754a9650
1240b04068
1324354989
141558501a
15cc5561b
hex8b4df50

146071376 has 40 divisors (see below), whose sum is σ = 319399200. Its totient is φ = 64104320.

The previous prime is 146071357. The next prime is 146071399. The reversal of 146071376 is 673170641.

146071376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 9206 + ... + 19413.

It is an arithmetic number, because the mean of its divisors is an integer number (7984980).

Almost surely, 2146071376 is an apocalyptic number.

146071376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146071376 is an abundant number, since it is smaller than the sum of its proper divisors (173327824).

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

146071376 is a wasteful number, since it uses less digits than its factorization.

146071376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28667 (or 28661 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 146071376 is about 12085.9991725964. Note that the first 3 decimals coincide. The cubic root of 146071376 is about 526.6495370882.

The spelling of 146071376 in words is "one hundred forty-six million, seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104 28619 57238 114476 228952 314809 457904 629618 829951 1259236 1659902 2518472 3319804 5036944 6639608 9129461 13279216 18258922 36517844 73035688 146071376