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148146732 = 22342915767
BaseRepresentation
bin10001101010010…
…00101000101100
3101022202122010000
420311020220230
5300411143412
622411144300
73446140446
oct1065105054
9338678100
10148146732
1176696918
1241745090
13249004b6
1415965496
15d0154dc
hex8d48a2c

148146732 has 60 divisors (see below), whose sum is σ = 400664880. Its totient is φ = 47676384.

The previous prime is 148146707. The next prime is 148146751. The reversal of 148146732 is 237641841.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1513 + ... + 17279.

It is an arithmetic number, because the mean of its divisors is an integer number (6677748).

Almost surely, 2148146732 is an apocalyptic number.

148146732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148146732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200332440).

148146732 is an abundant number, since it is smaller than the sum of its proper divisors (252518148).

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

148146732 is a wasteful number, since it uses less digits than its factorization.

148146732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15812 (or 15801 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 148146732 is about 12171.5542146433. The cubic root of 148146732 is about 529.1319979877.

The spelling of 148146732 in words is "one hundred forty-eight million, one hundred forty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 15767 31534 47301 63068 94602 141903 189204 283806 425709 457243 567612 851418 914486 1277127 1371729 1702836 1828972 2554254 2743458 4115187 5108508 5486916 8230374 12345561 16460748 24691122 37036683 49382244 74073366 148146732