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133345780 = 22537367491
BaseRepresentation
bin1111111001010…
…11000111110100
3100021220200000121
413330223013310
5233114031110
621122021324
73206264131
oct774530764
9307820017
10133345780
11692a7727
12387a7844
132181a639
14139d1588
15ba8ecda
hex7f2b1f4

133345780 has 48 divisors (see below), whose sum is σ = 288965376. Its totient is φ = 51649920.

The previous prime is 133345769. The next prime is 133345783. The reversal of 133345780 is 87543331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133345783) by changing a digit.

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, 271335 + ... + 271825.

It is an arithmetic number, because the mean of its divisors is an integer number (6020112).

Almost surely, 2133345780 is an apocalyptic number.

133345780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133345780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144482688).

133345780 is an abundant number, since it is smaller than the sum of its proper divisors (155619596).

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

133345780 is a wasteful number, since it uses less digits than its factorization.

133345780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 133345780 is about 11547.5443276915. The cubic root of 133345780 is about 510.8888510979. Note that the first 4 decimals are identical.

The spelling of 133345780 in words is "one hundred thirty-three million, three hundred forty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 367 370 491 734 740 982 1468 1835 1964 2455 3670 4910 7340 9820 13579 18167 27158 36334 54316 67895 72668 90835 135790 180197 181670 271580 360394 363340 720788 900985 1801970 3603940 6667289 13334578 26669156 33336445 66672890 133345780