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133066428 = 223112633833
BaseRepresentation
bin1111110111001…
…10111010111100
3100021101110211020
413323212322330
5233031111203
621112024140
73204021525
oct773467274
9307343736
10133066428
1169126860
1238692050
1321750441
141395b84c
15ba37153
hex7ee6ebc

133066428 has 48 divisors (see below), whose sum is σ = 340091136. Its totient is φ = 40159360.

The previous prime is 133066403. The next prime is 133066433. The reversal of 133066428 is 824660331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 32800 + ... + 36632.

It is an arithmetic number, because the mean of its divisors is an integer number (7085232).

Almost surely, 2133066428 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 133066428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170045568).

133066428 is an abundant number, since it is smaller than the sum of its proper divisors (207024708).

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

133066428 is a wasteful number, since it uses less digits than its factorization.

133066428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 133066428 is about 11535.4422542007. The cubic root of 133066428 is about 510.5318404237.

The spelling of 133066428 in words is "one hundred thirty-three million, sixty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 263 526 789 1052 1578 2893 3156 3833 5786 7666 8679 11499 11572 15332 17358 22998 34716 42163 45996 84326 126489 168652 252978 505956 1008079 2016158 3024237 4032316 6048474 11088869 12096948 22177738 33266607 44355476 66533214 133066428