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150414132 = 223112103591
BaseRepresentation
bin10001111011100…
…10001100110100
3101111000211101210
420331302030310
5302001223012
622531521420
73504333111
oct1075621464
9344024353
10150414132
11779a5400
1242459270
132521555b
1415d95908
15d31223c
hex8f72334

150414132 has 36 divisors (see below), whose sum is σ = 385776608. Its totient is φ = 45579600.

The previous prime is 150414107. The next prime is 150414137. The reversal of 150414132 is 231414051.

150414132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1504141322 = 45248822210626848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150414099 and 150414108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150414137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50344 + ... + 53247.

Almost surely, 2150414132 is an apocalyptic number.

150414132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150414132 is an abundant number, since it is smaller than the sum of its proper divisors (235362476).

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

150414132 is a wasteful number, since it uses less digits than its factorization.

150414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103620 (or 103607 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 150414132 is about 12264.3439286413. The cubic root of 150414132 is about 531.8178140747.

Adding to 150414132 its reverse (231414051), we get a palindrome (381828183).

The spelling of 150414132 in words is "one hundred fifty million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 103591 207182 310773 414364 621546 1139501 1243092 2279002 3418503 4558004 6837006 12534511 13674012 25069022 37603533 50138044 75207066 150414132