Search a number
-
+
146104650 = 23252595503
BaseRepresentation
bin10001011010101…
…10000101001010
3101011220212220100
420231112011022
5244400322100
622255310230
73422604036
oct1055260512
9334825810
10146104650
117552164a
1240b1b376
1324366b73
14155931c6
15cc60400
hex8b5614a

146104650 has 72 divisors (see below), whose sum is σ = 399260160. Its totient is φ = 38293920.

The previous prime is 146104649. The next prime is 146104657. The reversal of 146104650 is 56401641.

146104650 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 0 + 4 + 650 = 666.

146104650 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146104657) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23799 + ... + 29301.

It is an arithmetic number, because the mean of its divisors is an integer number (5545280).

Almost surely, 2146104650 is an apocalyptic number.

146104650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146104650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199630080).

146104650 is an abundant number, since it is smaller than the sum of its proper divisors (253155510).

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

146104650 is a wasteful number, since it uses less digits than its factorization.

146104650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 146104650 is about 12087.3756456892. The cubic root of 146104650 is about 526.6895230338.

The spelling of 146104650 in words is "one hundred forty-six million, one hundred four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 59 75 90 118 150 177 225 295 354 450 531 590 885 1062 1475 1770 2655 2950 4425 5310 5503 8850 11006 13275 16509 26550 27515 33018 49527 55030 82545 99054 137575 165090 247635 275150 324677 412725 495270 649354 825450 974031 1238175 1623385 1948062 2476350 2922093 3246770 4870155 5844186 8116925 9740310 14610465 16233850 24350775 29220930 48701550 73052325 146104650