Search a number
-
+
146215380 = 22352436923
BaseRepresentation
bin10001011011100…
…01000111010100
3101012010111210110
420231301013110
5244412343010
622301523020
73423544623
oct1055610724
9335114713
10146215380
1175597863
1240b73470
13243a539c
14155c16ba
15cc83120
hex8b711d4

146215380 has 24 divisors (see below), whose sum is σ = 409403232. Its totient is φ = 38990752.

The previous prime is 146215367. The next prime is 146215387. The reversal of 146215380 is 83512641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146215387) by changing a digit.

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, 1218402 + ... + 1218521.

It is an arithmetic number, because the mean of its divisors is an integer number (17058468).

Almost surely, 2146215380 is an apocalyptic number.

146215380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146215380 is an abundant number, since it is smaller than the sum of its proper divisors (263187852).

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

146215380 is a wasteful number, since it uses less digits than its factorization.

146215380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436935 (or 2436933 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 146215380 is about 12091.9551768934. The cubic root of 146215380 is about 526.8225455027.

The spelling of 146215380 in words is "one hundred forty-six million, two hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2436923 4873846 7310769 9747692 12184615 14621538 24369230 29243076 36553845 48738460 73107690 146215380