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150760116 = 2236134197
BaseRepresentation
bin10001111110001…
…10101010110100
3101111200102000000
420333012222310
5302043310431
622543151300
73510303603
oct1077065264
9344612000
10150760116
1178111341
12425a5530
1325306b90
1416045a3a
15d37e9e6
hex8fc6ab4

150760116 has 168 divisors, whose sum is σ = 440881224. Its totient is φ = 44789760.

The previous prime is 150760109. The next prime is 150760123. The reversal of 150760116 is 611067051.

150760116 is a `hidden beast` number, since 1 + 50 + 7 + 601 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (150760109) and next prime (150760123).

It can be written as a sum of positive squares in 4 ways, for example, as 1822500 + 148937616 = 1350^2 + 12204^2 .

It is a super-2 number, since 2×1507601162 = 45457225152666912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150760116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1554180 + ... + 1554276.

It is an arithmetic number, because the mean of its divisors is an integer number (2624293).

Almost surely, 2150760116 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 150760116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220440612).

150760116 is an abundant number, since it is smaller than the sum of its proper divisors (290121108).

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

150760116 is a wasteful number, since it uses less digits than its factorization.

150760116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 150760116 is about 12278.4411062643. The cubic root of 150760116 is about 532.2252659374.

The spelling of 150760116 in words is "one hundred fifty million, seven hundred sixty thousand, one hundred sixteen".