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150632460 = 223451179107
BaseRepresentation
bin10001111101001…
…11100000001100
3101111102220220000
420332213200030
5302030214320
622540324300
73506232456
oct1076474014
9344386800
10150632460
1178034440
1242543690
1325290a44
14160112d6
15d356c90
hex8fa780c

150632460 has 240 divisors, whose sum is σ = 526901760. Its totient is φ = 35717760.

The previous prime is 150632431. The next prime is 150632477. The reversal of 150632460 is 64236051.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1407727 + ... + 1407833.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2150632460 is an apocalyptic number.

150632460 is a gapful number since it is divisible by the number (10) 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 150632460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

150632460 is an abundant number, since it is smaller than the sum of its proper divisors (376269300).

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

150632460 is a wasteful number, since it uses less digits than its factorization.

150632460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 150632460 is about 12273.2416255853. The cubic root of 150632460 is about 532.0750030873.

The spelling of 150632460 in words is "one hundred fifty million, six hundred thirty-two thousand, four hundred sixty".