Search a number
-
+
146469960 = 2332571317263
BaseRepresentation
bin10001011101011…
…11010001001000
3101012121110000100
420232233101020
5244444014320
622311205400
73425655060
oct1056572110
9335543010
10146469960
117575105a
1241076860
1324464220
141564a3a0
15ccd3790
hex8baf448

146469960 has 384 divisors, whose sum is σ = 622702080. Its totient is φ = 28975104.

The previous prime is 146469959. The next prime is 146470019. The reversal of 146469960 is 69964641.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 556789 + ... + 557051.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2146469960 is an apocalyptic number.

146469960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146469960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

146469960 is an abundant number, since it is smaller than the sum of its proper divisors (476232120).

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

146469960 is a wasteful number, since it uses less digits than its factorization.

146469960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 146469960 is about 12102.4774323276. The cubic root of 146469960 is about 527.1281237521.

The spelling of 146469960 in words is "one hundred forty-six million, four hundred sixty-nine thousand, nine hundred sixty".