Search a number
-
+
133351240 = 235112313177
BaseRepresentation
bin1111111001011…
…00011101001000
3100021220221111211
413330230131020
5233114214430
621122102504
73206316061
oct774543510
9307827454
10133351240
1169300840
12387aaa34
132181cc79
14139d3568
15ba9172a
hex7f2c748

133351240 has 64 divisors (see below), whose sum is σ = 341573760. Its totient is φ = 46379520.

The previous prime is 133351201. The next prime is 133351249. The reversal of 133351240 is 42153331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (133351249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3532 + ... + 16708.

It is an arithmetic number, because the mean of its divisors is an integer number (5337090).

Almost surely, 2133351240 is an apocalyptic number.

133351240 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 133351240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170786880).

133351240 is an abundant number, since it is smaller than the sum of its proper divisors (208222520).

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

133351240 is a wasteful number, since it uses less digits than its factorization.

133351240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13222 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 133351240 is about 11547.7807391724. The cubic root of 133351240 is about 510.8958239846.

The spelling of 133351240 in words is "one hundred thirty-three million, three hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 13177 26354 52708 65885 105416 131770 144947 263540 289894 303071 527080 579788 606142 724735 1159576 1212284 1449470 1515355 2424568 2898940 3030710 3333781 5797880 6061420 6667562 12122840 13335124 16668905 26670248 33337810 66675620 133351240