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150696 = 233271323
BaseRepresentation
bin100100110010101000
321122201100
4210302220
514310241
63121400
71165230
oct446250
9248640
10150696
11a3247
1273260
1353790
143ccc0
152e9b6
hex24ca8

150696 has 96 divisors (see below), whose sum is σ = 524160. Its totient is φ = 38016.

The previous prime is 150659. The next prime is 150697. The reversal of 150696 is 696051.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 150696.

It is not an unprimeable number, because it can be changed into a prime (150697) by changing a digit.

150696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6541 + ... + 6563.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2150696 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 150696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

150696 is an abundant number, since it is smaller than the sum of its proper divisors (373464).

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

150696 is a wasteful number, since it uses less digits than its factorization.

150696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 150696 is about 388.1958268709. The cubic root of 150696 is about 53.2149806117.

The spelling of 150696 in words is "one hundred fifty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 23 24 26 28 36 39 42 46 52 56 63 69 72 78 84 91 92 104 117 126 138 156 161 168 182 184 207 234 252 273 276 299 312 322 364 414 468 483 504 546 552 598 644 728 819 828 897 936 966 1092 1196 1288 1449 1638 1656 1794 1932 2093 2184 2392 2691 2898 3276 3588 3864 4186 5382 5796 6279 6552 7176 8372 10764 11592 12558 16744 18837 21528 25116 37674 50232 75348 150696