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135522360 = 23325487773
BaseRepresentation
bin10000001001111…
…10100000111000
3100110000020201200
420010332200320
5234143203420
621240414200
73233630631
oct1004764070
9313006650
10135522360
116a553a56
1239477360
132210025c
1413dda888
15bd6eb90
hex813e838

135522360 has 96 divisors (see below), whose sum is σ = 441923040. Its totient is φ = 36018432.

The previous prime is 135522341. The next prime is 135522389. The reversal of 135522360 is 63225531.

135522360 is a `hidden beast` number, since 135 + 522 + 3 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174934 + ... + 175706.

It is an arithmetic number, because the mean of its divisors is an integer number (4603365).

Almost surely, 2135522360 is an apocalyptic number.

135522360 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 135522360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220961520).

135522360 is an abundant number, since it is smaller than the sum of its proper divisors (306400680).

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

135522360 is a wasteful number, since it uses less digits than its factorization.

135522360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 135522360 is about 11641.4071314425. The cubic root of 135522360 is about 513.6535791485.

Adding to 135522360 its reverse (63225531), we get a palindrome (198747891).

The spelling of 135522360 in words is "one hundred thirty-five million, five hundred twenty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 487 773 974 1461 1546 1948 2319 2435 2922 3092 3865 3896 4383 4638 4870 5844 6184 6957 7305 7730 8766 9276 9740 11595 11688 13914 14610 15460 17532 18552 19480 21915 23190 27828 29220 30920 34785 35064 43830 46380 55656 58440 69570 87660 92760 139140 175320 278280 376451 752902 1129353 1505804 1882255 2258706 3011608 3388059 3764510 4517412 5646765 6776118 7529020 9034824 11293530 13552236 15058040 16940295 22587060 27104472 33880590 45174120 67761180 135522360