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133055400 = 233521032153
BaseRepresentation
bin1111110111001…
…00001110101000
3100021100220200210
413323210032220
5233030233100
621111501120
73203644422
oct773441650
9307326623
10133055400
1169119545
12386877a0
132174840a
1413957812
15ba33c50
hex7ee43a8

133055400 has 96 divisors (see below), whose sum is σ = 416669760. Its totient is φ = 35120640.

The previous prime is 133055399. The next prime is 133055401. The reversal of 133055400 is 4550331.

It is an interprime number because it is at equal distance from previous prime (133055399) and next prime (133055401).

It is not an unprimeable number, because it can be changed into a prime (133055401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60724 + ... + 62876.

It is an arithmetic number, because the mean of its divisors is an integer number (4340310).

Almost surely, 2133055400 is an apocalyptic number.

133055400 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 133055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208334880).

133055400 is an abundant number, since it is smaller than the sum of its proper divisors (283614360).

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

133055400 is a wasteful number, since it uses less digits than its factorization.

133055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 133055400 is about 11534.9642392163. The cubic root of 133055400 is about 510.5177364388.

The spelling of 133055400 in words is "one hundred thirty-three million, fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 103 120 150 200 206 300 309 412 515 600 618 824 1030 1236 1545 2060 2153 2472 2575 3090 4120 4306 5150 6180 6459 7725 8612 10300 10765 12360 12918 15450 17224 20600 21530 25836 30900 32295 43060 51672 53825 61800 64590 86120 107650 129180 161475 215300 221759 258360 322950 430600 443518 645900 665277 887036 1108795 1291800 1330554 1774072 2217590 2661108 3326385 4435180 5322216 5543975 6652770 8870360 11087950 13305540 16631925 22175900 26611080 33263850 44351800 66527700 133055400