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146013132 = 22396712583
BaseRepresentation
bin10001011001111…
…11101111001100
3101011202020100210
420230333233030
5244334410012
622253322420
73422043156
oct1054775714
9334666323
10146013132
1175469911
1240a96410
1324334305
141556bad6
15cc4323c
hex8b3fbcc

146013132 has 24 divisors (see below), whose sum is σ = 341076736. Its totient is φ = 48616848.

The previous prime is 146013121. The next prime is 146013143. The reversal of 146013132 is 231310641.

It is an interprime number because it is at equal distance from previous prime (146013121) and next prime (146013143).

It is a super-3 number, since 3×1460131323 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146013099 and 146013108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5313 + ... + 17895.

Almost surely, 2146013132 is an apocalyptic number.

146013132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146013132 is an abundant number, since it is smaller than the sum of its proper divisors (195063604).

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

146013132 is a wasteful number, since it uses less digits than its factorization.

146013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13557 (or 13555 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 146013132 is about 12083.5893674024. The cubic root of 146013132 is about 526.5795296385.

Adding to 146013132 its reverse (231310641), we get a palindrome (377323773).

The spelling of 146013132 in words is "one hundred forty-six million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 967 1934 2901 3868 5802 11604 12583 25166 37749 50332 75498 150996 12167761 24335522 36503283 48671044 73006566 146013132