Search a number
-
+
133642530 = 23257212131
BaseRepresentation
bin1111111011100…
…11100100100010
3100022110202002100
413331303210202
5233203030110
621132231230
73211641240
oct775634442
9308422070
10133642530
116948a67a
123890b516
13218c2728
1413a6b790
15baecbc0
hex7f73922

133642530 has 48 divisors (see below), whose sum is σ = 397111104. Its totient is φ = 30546720.

The previous prime is 133642513. The next prime is 133642577. The reversal of 133642530 is 35246331.

It is a happy number.

133642530 is a `hidden beast` number, since 13 + 3 + 642 + 5 + 3 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133642494 and 133642503.

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, 105436 + ... + 106695.

It is an arithmetic number, because the mean of its divisors is an integer number (8273148).

Almost surely, 2133642530 is an apocalyptic number.

133642530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133642530 is an abundant number, since it is smaller than the sum of its proper divisors (263468574).

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

133642530 is a wasteful number, since it uses less digits than its factorization.

133642530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212151 (or 212148 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 133642530 is about 11560.3862392223. The cubic root of 133642530 is about 511.2675506038.

Adding to 133642530 its reverse (35246331), we get a palindrome (168888861).

The spelling of 133642530 in words is "one hundred thirty-three million, six hundred forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 212131 424262 636393 1060655 1272786 1484917 1909179 2121310 2969834 3181965 3818358 4454751 6363930 7424585 8909502 9545895 13364253 14849170 19091790 22273755 26728506 44547510 66821265 133642530