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133311240 = 23325675527
BaseRepresentation
bin1111111001000…
…10101100001000
3100021211220122100
413330202230020
5233111424430
621121153400
73206061336
oct774425410
9307756570
10133311240
1169283787
123878b860
13218079ba
14139c2b56
15ba84960
hex7f22b08

133311240 has 96 divisors (see below), whose sum is σ = 439807680. Its totient is φ = 35012736.

The previous prime is 133311203. The next prime is 133311287. The reversal of 133311240 is 42113331.

133311240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21357 + ... + 26883.

It is an arithmetic number, because the mean of its divisors is an integer number (4581330).

Almost surely, 2133311240 is an apocalyptic number.

133311240 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 133311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219903840).

133311240 is an abundant number, since it is smaller than the sum of its proper divisors (306496440).

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

133311240 is a wasteful number, since it uses less digits than its factorization.

133311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133311240 is about 11546.0486747632. The cubic root of 133311240 is about 510.8447361542.

Adding to 133311240 its reverse (42113331), we get a palindrome (175424571).

The spelling of 133311240 in words is "one hundred thirty-three million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 5527 6030 8040 11054 12060 16581 22108 24120 27635 33162 44216 49743 55270 66324 82905 99486 110540 132648 165810 198972 221080 248715 331620 370309 397944 497430 663240 740618 994860 1110927 1481236 1851545 1989720 2221854 2962472 3332781 3703090 4443708 5554635 6665562 7406180 8887416 11109270 13331124 14812360 16663905 22218540 26662248 33327810 44437080 66655620 133311240