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133020748 = 22719614099
BaseRepresentation
bin1111110110110…
…11110001001100
3100021022011011101
413323123301030
5233023130443
621111032444
73203441410
oct773336114
9307264141
10133020748
11690a5503
123866b724
1321735703
1413948d40
15ba2884d
hex7edbc4c

133020748 has 48 divisors (see below), whose sum is σ = 284704000. Its totient is φ = 53110080.

The previous prime is 133020683. The next prime is 133020757. The reversal of 133020748 is 847020331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30403 + ... + 34501.

Almost surely, 2133020748 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 133020748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142352000).

133020748 is an abundant number, since it is smaller than the sum of its proper divisors (151683252).

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

133020748 is a wasteful number, since it uses less digits than its factorization.

133020748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 133020748 is about 11533.4620994739. The cubic root of 133020748 is about 510.4734140574.

The spelling of 133020748 in words is "one hundred thirty-three million, twenty thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 38 61 76 122 133 244 266 427 532 854 1159 1708 2318 4099 4636 8113 8198 16226 16396 28693 32452 57386 77881 114772 155762 250039 311524 500078 545167 1000156 1090334 1750273 2180668 3500546 4750741 7001092 9501482 19002964 33255187 66510374 133020748