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133126630 = 25721320899
BaseRepresentation
bin1111110111101…
…01100111100110
3100021111112101221
413323311213212
5233040023010
621113210554
73204362200
oct773654746
9307445357
10133126630
116916800a
1238700a5a
1321771970
1413975770
15ba49dda
hex7ef59e6

133126630 has 48 divisors (see below), whose sum is σ = 300207600. Its totient is φ = 42130368.

The previous prime is 133126627. The next prime is 133126639. The reversal of 133126630 is 36621331.

It is a junction number, because it is equal to n+sod(n) for n = 133126595 and 133126604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133126639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4080 + ... + 16819.

It is an arithmetic number, because the mean of its divisors is an integer number (6254325).

Almost surely, 2133126630 is an apocalyptic number.

133126630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133126630 is an abundant number, since it is smaller than the sum of its proper divisors (167080970).

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

133126630 is a wasteful number, since it uses less digits than its factorization.

133126630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20933 (or 20926 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 133126630 is about 11538.0513952747. The cubic root of 133126630 is about 510.6088205316.

Adding to 133126630 its reverse (36621331), we get a palindrome (169747961).

The spelling of 133126630 in words is "one hundred thirty-three million, one hundred twenty-six thousand, six hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 3185 6370 20899 41798 104495 146293 208990 271687 292586 543374 731465 1024051 1358435 1462930 1901809 2048102 2716870 3803618 5120255 9509045 10240510 13312663 19018090 26625326 66563315 133126630