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150513432 = 233311012003
BaseRepresentation
bin10001111100010…
…10011100011000
3101111012212121120
420332022130120
5302012412212
622534005240
73505225446
oct1076123430
9344185546
10150513432
1177a62a73
12424a6820
132524b804
1415dbdb96
15d33188c
hex8f8a718

150513432 has 64 divisors (see below), whose sum is σ = 392463360. Its totient is φ = 48048000.

The previous prime is 150513409. The next prime is 150513443. The reversal of 150513432 is 234315051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 74143 + ... + 76145.

It is an arithmetic number, because the mean of its divisors is an integer number (6132240).

Almost surely, 2150513432 is an apocalyptic number.

150513432 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 150513432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196231680).

150513432 is an abundant number, since it is smaller than the sum of its proper divisors (241949928).

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

150513432 is a wasteful number, since it uses less digits than its factorization.

150513432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 150513432 is about 12268.3915816214. The cubic root of 150513432 is about 531.9348196852.

Adding to 150513432 its reverse (234315051), we get a palindrome (384828483).

The spelling of 150513432 in words is "one hundred fifty million, five hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 101 124 186 202 248 303 372 404 606 744 808 1212 2003 2424 3131 4006 6009 6262 8012 9393 12018 12524 16024 18786 24036 25048 37572 48072 62093 75144 124186 186279 202303 248372 372558 404606 496744 606909 745116 809212 1213818 1490232 1618424 2427636 4855272 6271393 12542786 18814179 25085572 37628358 50171144 75256716 150513432