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133260300 = 223252197793
BaseRepresentation
bin1111111000101…
…10010000001100
3100021202022202200
413330112100030
5233103312200
621120121500
73205456665
oct774262014
9307668680
10133260300
1169249488
1238766290
13217ba764
14139ac36c
15ba74800
hex7f1640c

133260300 has 108 divisors (see below), whose sum is σ = 439737480. Its totient is φ = 33661440.

The previous prime is 133260287. The next prime is 133260301. The reversal of 133260300 is 3062331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133260301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13204 + ... + 20996.

Almost surely, 2133260300 is an apocalyptic number.

133260300 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 133260300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219868740).

133260300 is an abundant number, since it is smaller than the sum of its proper divisors (306477180).

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

133260300 is a wasteful number, since it uses less digits than its factorization.

133260300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133260300 is about 11543.8425145183. The cubic root of 133260300 is about 510.7796610060.

The spelling of 133260300 in words is "one hundred thirty-three million, two hundred sixty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 7793 8550 15586 17100 23379 31172 38965 46758 70137 77930 93516 116895 140274 148067 155860 194825 233790 280548 296134 350685 389650 444201 467580 584475 592268 701370 740335 779300 888402 1168950 1332603 1402740 1480670 1753425 1776804 2221005 2337900 2665206 2961340 3506850 3701675 4442010 5330412 6663015 7013700 7403350 8884020 11105025 13326030 14806700 22210050 26652060 33315075 44420100 66630150 133260300