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146838132 = 22327582691
BaseRepresentation
bin10001100000010…
…01001001110100
3101020022011001100
420300021021310
5300042310012
622323130100
73432050340
oct1060111164
9336264040
10146838132
1175982731
1241213930
132456298c
1415704620
15cd578dc
hex8c09274

146838132 has 36 divisors (see below), whose sum is σ = 424199776. Its totient is φ = 41953680.

The previous prime is 146838127. The next prime is 146838149. The reversal of 146838132 is 231838641.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1468381322 = 43122874018498848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291094 + ... + 291597.

Almost surely, 2146838132 is an apocalyptic number.

146838132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146838132 is an abundant number, since it is smaller than the sum of its proper divisors (277361644).

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

146838132 is a wasteful number, since it uses less digits than its factorization.

146838132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582708 (or 582703 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 146838132 is about 12117.6784905360. The cubic root of 146838132 is about 527.5694234153.

The spelling of 146838132 in words is "one hundred forty-six million, eight hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 582691 1165382 1748073 2330764 3496146 4078837 5244219 6992292 8157674 10488438 12236511 16315348 20976876 24473022 36709533 48946044 73419066 146838132