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133036876 = 227231671237
BaseRepresentation
bin1111110110111…
…11101101001100
3100021022222021201
413323133231030
5233024140001
621111235244
73203536420
oct773375514
9307288251
10133036876
1169106635
1238678b24
132173cb5b
1413950b80
15ba2d501
hex7edfb4c

133036876 has 48 divisors (see below), whose sum is σ = 279530496. Its totient is φ = 54166464.

The previous prime is 133036861. The next prime is 133036901. The reversal of 133036876 is 678630331.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 106930 + ... + 108166.

It is an arithmetic number, because the mean of its divisors is an integer number (5823552).

Almost surely, 2133036876 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 133036876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139765248).

133036876 is an abundant number, since it is smaller than the sum of its proper divisors (146493620).

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

133036876 is a wasteful number, since it uses less digits than its factorization.

133036876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 133036876 is about 11534.1612612274. The cubic root of 133036876 is about 510.4940438780.

The spelling of 133036876 in words is "one hundred thirty-three million, thirty-six thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 23 28 46 92 161 167 322 334 644 668 1169 1237 2338 2474 3841 4676 4948 7682 8659 15364 17318 26887 28451 34636 53774 56902 107548 113804 199157 206579 398314 413158 796628 826316 1446053 2892106 4751317 5784212 9502634 19005268 33259219 66518438 133036876