Search a number
-
+
150693816 = 23372139857
BaseRepresentation
bin10001111101101…
…10011110111000
3101111120001001110
420332312132320
5302034200231
622541520320
73506606400
oct1076663670
9344501043
10150693816
1178076549
12425730a0
13252b2950
1416029800
15d36a046
hex8fb67b8

150693816 has 96 divisors (see below), whose sum is σ = 472001040. Its totient is φ = 39739392.

The previous prime is 150693799. The next prime is 150693833. The reversal of 150693816 is 618396051.

It is an interprime number because it is at equal distance from previous prime (150693799) and next prime (150693833).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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, 10360 + ... + 20216.

Almost surely, 2150693816 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 150693816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236000520).

150693816 is an abundant number, since it is smaller than the sum of its proper divisors (321307224).

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

150693816 is a wasteful number, since it uses less digits than its factorization.

150693816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9893 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 150693816 is about 12275.7409552336. The cubic root of 150693816 is about 532.1472353326.

The spelling of 150693816 in words is "one hundred fifty million, six hundred ninety-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 9857 15288 19714 29571 39428 59142 68999 78856 118284 128141 137998 206997 236568 256282 275996 384423 413994 482993 512564 551992 768846 827988 896987 965986 1025128 1448979 1537692 1655976 1793974 1931972 2690961 2897958 3075384 3587948 3863944 5381922 5795916 6278909 7175896 10763844 11591832 12557818 18836727 21527688 25115636 37673454 50231272 75346908 150693816