Search a number
-
+
146083932 = 22331971191
BaseRepresentation
bin10001011010100…
…01000001011100
3101011212211111000
420231101001130
5244344141212
622255030300
73422456451
oct1055210134
9334784430
10146083932
1175508025
1240b0b390
132435a5c7
1415589828
15cc591dc
hex8b5105c

146083932 has 48 divisors (see below), whose sum is σ = 398675200. Its totient is φ = 46131120.

The previous prime is 146083897. The next prime is 146083939. The reversal of 146083932 is 239380641.

146083932 is a `hidden beast` number, since 14 + 608 + 3 + 9 + 32 = 666.

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 (146083939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33544 + ... + 37647.

Almost surely, 2146083932 is an apocalyptic number.

146083932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146083932 is an abundant number, since it is smaller than the sum of its proper divisors (252591268).

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

146083932 is a wasteful number, since it uses less digits than its factorization.

146083932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71223 (or 71215 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 146083932 is about 12086.5186054546. The cubic root of 146083932 is about 526.6646265655.

The spelling of 146083932 in words is "one hundred forty-six million, eighty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 71191 142382 213573 284764 427146 640719 854292 1281438 1352629 1922157 2562876 2705258 3844314 4057887 5410516 7688628 8115774 12173661 16231548 24347322 36520983 48694644 73041966 146083932