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150663114 = 232710111839
BaseRepresentation
bin10001111101011…
…10111111001010
3101111111110221100
420332232333022
5302032204424
622541122230
73506421030
oct1076567712
9344443840
10150663114
1178055478
1242559376
13252a1994
141601c550
15d360dc9
hex8faefca

150663114 has 48 divisors (see below), whose sum is σ = 376796160. Its totient is φ = 42616800.

The previous prime is 150663113. The next prime is 150663137. The reversal of 150663114 is 411366051.

150663114 is a `hidden beast` number, since 15 + 0 + 6 + 631 + 14 = 666.

It is not an unprimeable number, because it can be changed into a prime (150663113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6807 + ... + 18645.

It is an arithmetic number, because the mean of its divisors is an integer number (7849920).

Almost surely, 2150663114 is an apocalyptic number.

150663114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150663114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188398080).

150663114 is an abundant number, since it is smaller than the sum of its proper divisors (226133046).

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

150663114 is a wasteful number, since it uses less digits than its factorization.

150663114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11955 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 150663114 is about 12274.4903763863. The cubic root of 150663114 is about 532.1110934069. Note that the first 3 decimals are identical.

It can be divided in two parts, 1506 and 63114, that added together give a triangular number (64620 = T359).

The spelling of 150663114 in words is "one hundred fifty million, six hundred sixty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 11839 12726 23678 35517 71034 82873 106551 165746 213102 248619 497238 745857 1195739 1491714 2391478 3587217 7174434 8370173 10761651 16740346 21523302 25110519 50221038 75331557 150663114