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150800832 = 26337213137
BaseRepresentation
bin10001111110100…
…00100111000000
3101111202110212000
420333100213000
5302101111312
622544104000
73510533400
oct1077204700
9344673760
10150800832
1178139996
1242605000
132531c580
1416056800
15d38badc
hex8fd09c0

150800832 has 336 divisors, whose sum is σ = 559429920. Its totient is φ = 39481344.

The previous prime is 150800827. The next prime is 150800843. The reversal of 150800832 is 238008051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 150800796 and 150800805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100668 + ... + 1100804.

It is an arithmetic number, because the mean of its divisors is an integer number (1664970).

Almost surely, 2150800832 is an apocalyptic number.

150800832 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 150800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279714960).

150800832 is an abundant number, since it is smaller than the sum of its proper divisors (408629088).

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

150800832 is a wasteful number, since it uses less digits than its factorization.

150800832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 150800832 is about 12280.0990224021. The cubic root of 150800832 is about 532.2731745708.

Adding to 150800832 its reverse (238008051), we get a palindrome (388808883).

The spelling of 150800832 in words is "one hundred fifty million, eight hundred thousand, eight hundred thirty-two".