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150738516 = 22332814967
BaseRepresentation
bin10001111110000…
…01011001010100
3101111122022101000
420333001121110
5302042113031
622542503300
73510153615
oct1077013124
9344568330
10150738516
11780a7095
1242594b30
13252ca0b6
141603bc0c
15d3783e6
hex8fc1654

150738516 has 48 divisors (see below), whose sum is σ = 392273280. Its totient is φ = 50057280.

The previous prime is 150738493. The next prime is 150738517. The reversal of 150738516 is 615837051.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150738517) by changing a digit.

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, 27865 + ... + 32831.

It is an arithmetic number, because the mean of its divisors is an integer number (8172360).

Almost surely, 2150738516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150738516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196136640).

150738516 is an abundant number, since it is smaller than the sum of its proper divisors (241534764).

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

150738516 is a wasteful number, since it uses less digits than its factorization.

150738516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 150738516 is about 12277.5614842688. The cubic root of 150738516 is about 532.1998467148.

The spelling of 150738516 in words is "one hundred fifty million, seven hundred thirty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 281 562 843 1124 1686 2529 3372 4967 5058 7587 9934 10116 14901 15174 19868 29802 30348 44703 59604 89406 134109 178812 268218 536436 1395727 2791454 4187181 5582908 8374362 12561543 16748724 25123086 37684629 50246172 75369258 150738516