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150552636 = 223132611217
BaseRepresentation
bin10001111100101…
…00000000111100
3101111021212101120
420332110000330
5302020141021
622534510540
73505450653
oct1076240074
9344255346
10150552636
1177a8a473
1242505450
1325263600
1415dd019a
15d33d2c6
hex8f9403c

150552636 has 72 divisors (see below), whose sum is σ = 386943984. Its totient is φ = 45527040.

The previous prime is 150552631. The next prime is 150552673. The reversal of 150552636 is 636255051.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 150552597 and 150552606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150552631) 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, 123100 + ... + 124316.

It is an arithmetic number, because the mean of its divisors is an integer number (5374222).

Almost surely, 2150552636 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 150552636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193471992).

150552636 is an abundant number, since it is smaller than the sum of its proper divisors (236391348).

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

150552636 is a wasteful number, since it uses less digits than its factorization.

150552636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 150552636 is about 12269.9892420491. The cubic root of 150552636 is about 531.9809997548.

The spelling of 150552636 in words is "one hundred fifty million, five hundred fifty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 169 183 244 338 366 507 676 732 793 1014 1217 1586 2028 2379 2434 3172 3651 4758 4868 7302 9516 10309 14604 15821 20618 30927 31642 41236 47463 61854 63284 74237 94926 123708 148474 189852 205673 222711 296948 411346 445422 617019 822692 890844 965081 1234038 1930162 2468076 2895243 3860324 5790486 11580972 12546053 25092106 37638159 50184212 75276318 150552636