Search a number
150926720 = 275759571
BaseRepresentation
bin10001111111011…
…11010110000000
3101111222212112112
420333233112000
5302114123340
622550514452
73511566410
oct1077572600
9344885475
10150926720
117821552a
1242665a28
1325364969
141608a640
15d3b4065
hex8fef580

150926720 has 128 divisors (see below), whose sum is σ = 420076800. Its totient is φ = 50780160.

The previous prime is 150926687. The next prime is 150926723. The reversal of 150926720 is 27629051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150926723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264035 + ... + 264605.

It is an arithmetic number, because the mean of its divisors is an integer number (3281850).

Almost surely, 2150926720 is an apocalyptic number.

150926720 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 150926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038400).

150926720 is an abundant number, since it is smaller than the sum of its proper divisors (269150080).

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

150926720 is an equidigital number, since it uses as much as digits as its factorization.

150926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 150926720 is about 12285.2236446880. The cubic root of 150926720 is about 532.4212466282.

It can be divided in two parts, 15092 and 6720, that added together give a palindrome (21812).

The spelling of 150926720 in words is "one hundred fifty million, nine hundred twenty-six thousand, seven hundred twenty".