Search a number
-
+
146416572 = 2234451903
BaseRepresentation
bin10001011101000…
…10001110111100
3101012111201210000
420232202032330
5244440312242
622310114300
73425343321
oct1056421674
9335451700
10146416572
1175714a35
124104b990
1324445b33
1415634b48
15ccc2a4c
hex8ba23bc

146416572 has 30 divisors (see below), whose sum is σ = 382762688. Its totient is φ = 48805416.

The previous prime is 146416561. The next prime is 146416573. The reversal of 146416572 is 275614641.

146416572 is a `hidden beast` number, since 1 + 4 + 641 + 6 + 5 + 7 + 2 = 666.

146416572 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146416573) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 225628 + ... + 226275.

Almost surely, 2146416572 is an apocalyptic number.

146416572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146416572 is an abundant number, since it is smaller than the sum of its proper divisors (236346116).

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

146416572 is a wasteful number, since it uses less digits than its factorization.

146416572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451919 (or 451908 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 146416572 is about 12100.2715672005. The cubic root of 146416572 is about 527.0640702624.

The spelling of 146416572 in words is "one hundred forty-six million, four hundred sixteen thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 451903 903806 1355709 1807612 2711418 4067127 5422836 8134254 12201381 16268508 24402762 36604143 48805524 73208286 146416572