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133650036 = 223213353809
BaseRepresentation
bin1111111011101…
…01011001110100
3100022111010101100
413331311121310
5233203300121
621132330100
73212002152
oct775653164
9308433340
10133650036
1169495283
1238913930
13218c5c80
1413a703d2
15bb00026
hex7f75674

133650036 has 72 divisors (see below), whose sum is σ = 365306760. Its totient is φ = 40955904.

The previous prime is 133650001. The next prime is 133650071. The reversal of 133650036 is 630056331.

133650036 is a `hidden beast` number, since 1 + 3 + 3 + 650 + 0 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (133650001) and next prime (133650071).

It can be written as a sum of positive squares in 4 ways, for example, as 17139600 + 116510436 = 4140^2 + 10794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133649991 and 133650009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164800 + ... + 165608.

It is an arithmetic number, because the mean of its divisors is an integer number (5073705).

Almost surely, 2133650036 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 133650036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182653380).

133650036 is an abundant number, since it is smaller than the sum of its proper divisors (231656724).

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

133650036 is a wasteful number, since it uses less digits than its factorization.

133650036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 133650036 is about 11560.7108777964. The cubic root of 133650036 is about 511.2771221635.

The spelling of 133650036 in words is "one hundred thirty-three million, six hundred fifty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 353 468 706 809 1059 1412 1618 2118 2427 3177 3236 4236 4589 4854 6354 7281 9178 9708 10517 12708 13767 14562 18356 21034 27534 29124 31551 41301 42068 55068 63102 82602 94653 126204 165204 189306 285577 378612 571154 856731 1142308 1713462 2570193 3426924 3712501 5140386 7425002 10280772 11137503 14850004 22275006 33412509 44550012 66825018 133650036