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150096366 = 23271779887
BaseRepresentation
bin10001111001001…
…00100111101110
3101110102200111200
420330210213232
5301411040431
622521030330
73501540510
oct1074444756
9343380450
10150096366
11777a8692
12423253a6
1325133a24
1415d11bb0
15d29cee6
hex8f249ee

150096366 has 96 divisors (see below), whose sum is σ = 398960640. Its totient is φ = 39806208.

The previous prime is 150096361. The next prime is 150096407. The reversal of 150096366 is 663690051.

150096366 is a `hidden beast` number, since 1 + 500 + 96 + 3 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 150096366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150096361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168775 + ... + 169661.

It is an arithmetic number, because the mean of its divisors is an integer number (4155840).

Almost surely, 2150096366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150096366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199480320).

150096366 is an abundant number, since it is smaller than the sum of its proper divisors (248864274).

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

150096366 is a wasteful number, since it uses less digits than its factorization.

150096366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 150096366 is about 12251.3822077348. The cubic root of 150096366 is about 531.4430426291.

The spelling of 150096366 in words is "one hundred fifty million, ninety-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 79 102 119 126 153 158 237 238 306 357 474 553 711 714 887 1071 1106 1343 1422 1659 1774 2142 2661 2686 3318 4029 4977 5322 6209 7983 8058 9401 9954 12087 12418 15079 15966 18627 18802 24174 28203 30158 37254 45237 55881 56406 70073 84609 90474 105553 111762 135711 140146 169218 210219 211106 271422 316659 420438 490511 630657 633318 949977 981022 1191241 1261314 1471533 1899954 2382482 2943066 3573723 4414599 7147446 8338687 8829198 10721169 16677374 21442338 25016061 50032122 75048183 150096366