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146121132 = 22376116001
BaseRepresentation
bin10001011010110…
…10000110101100
3101011221201111210
420231122012230
5244401334012
622255514420
73423003063
oct1055320654
9334851453
10146121132
1175532a73
1240b28a10
1324371511
14155991da
15cc6523c
hex8b5a1ac

146121132 has 24 divisors (see below), whose sum is σ = 341418672. Its totient is φ = 48640000.

The previous prime is 146121127. The next prime is 146121133. The reversal of 146121132 is 231121641.

It is a super-2 number, since 2×1461211322 = 42702770433922848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146121099 and 146121108.

It is not an unprimeable number, because it can be changed into a prime (146121133) 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, 1132 + ... + 17132.

It is an arithmetic number, because the mean of its divisors is an integer number (14225778).

Almost surely, 2146121132 is an apocalyptic number.

146121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146121132 is an abundant number, since it is smaller than the sum of its proper divisors (195297540).

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

146121132 is a wasteful number, since it uses less digits than its factorization.

146121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16769 (or 16767 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 146121132 is about 12088.0574121734. The cubic root of 146121132 is about 526.7093274920.

Adding to 146121132 its reverse (231121641), we get a palindrome (377242773).

It can be divided in two parts, 146 and 121132, that added together give a triangular number (121278 = T492).

The spelling of 146121132 in words is "one hundred forty-six million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 761 1522 2283 3044 4566 9132 16001 32002 48003 64004 96006 192012 12176761 24353522 36530283 48707044 73060566 146121132