Search a number
-
+
150660342 = 23272395003
BaseRepresentation
bin10001111101011…
…10010011110110
3101111111100010200
420332232103312
5302032112332
622541101330
73506406660
oct1076562366
9344440120
10150660342
1178053388
1242557846
13252a0641
141601b530
15d36017c
hex8fae4f6

150660342 has 48 divisors (see below), whose sum is σ = 374699520. Its totient is φ = 42857136.

The previous prime is 150660331. The next prime is 150660343. The reversal of 150660342 is 243066051.

150660342 is a `hidden beast` number, since 1 + 50 + 6 + 603 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150660343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27613 + ... + 32615.

It is an arithmetic number, because the mean of its divisors is an integer number (7806240).

Almost surely, 2150660342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150660342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187349760).

150660342 is an abundant number, since it is smaller than the sum of its proper divisors (224039178).

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

150660342 is a wasteful number, since it uses less digits than its factorization.

150660342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 150660342 is about 12274.3774587553. The cubic root of 150660342 is about 532.1078300092.

The spelling of 150660342 in words is "one hundred fifty million, six hundred sixty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 478 717 1434 1673 2151 3346 4302 5003 5019 10006 10038 15009 15057 30018 30114 35021 45027 70042 90054 105063 210126 315189 630378 1195717 2391434 3587151 7174302 8370019 10761453 16740038 21522906 25110057 50220114 75330171 150660342