Search a number
-
+
135304323660 = 223251176189797
BaseRepresentation
bin111111000000011000…
…1000010001001001100
3110221020120221210202200
41332000301002021030
54204100401324120
6142054041121500
712526652526552
oct1760061021114
9427216853680
10135304323660
1152422843aa0
1222281189290
13c9b3ab619c
146797b47bd2
1537bd87ee90
hex1f80c4224c

135304323660 has 144 divisors (see below), whose sum is σ = 448327649952. Its totient is φ = 32757580800.

The previous prime is 135304323653. The next prime is 135304323691. The reversal of 135304323660 is 66323403531.

135304323660 is a `hidden beast` number, since 1 + 3 + 530 + 4 + 32 + 36 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461882 + ... + 1551678.

It is an arithmetic number, because the mean of its divisors is an integer number (3113386458).

Almost surely, 2135304323660 is an apocalyptic number.

135304323660 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 135304323660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224163824976).

135304323660 is an abundant number, since it is smaller than the sum of its proper divisors (313023326292).

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

135304323660 is a wasteful number, since it uses less digits than its factorization.

135304323660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90584 (or 90579 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 135304323660 in words is "one hundred thirty-five billion, three hundred four million, three hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 761 990 1522 1980 2283 3044 3805 4566 6849 7610 8371 9132 11415 13698 15220 16742 22830 25113 27396 33484 34245 41855 45660 50226 68490 75339 83710 89797 100452 125565 136980 150678 167420 179594 251130 269391 301356 359188 376695 448985 502260 538782 753390 808173 897970 987767 1077564 1346955 1506780 1616346 1795940 1975534 2693910 2963301 3232692 3951068 4040865 4938835 5387820 5926602 8081730 8889903 9877670 11853204 14816505 16163460 17779806 19755340 29633010 35559612 44449515 59266020 68335517 88899030 136671034 177798060 205006551 273342068 341677585 410013102 615019653 683355170 751690687 820026204 1025032755 1230039306 1366710340 1503381374 2050065510 2255072061 2460078612 3006762748 3075098265 3758453435 4100131020 4510144122 6150196530 6765216183 7516906870 9020288244 11275360305 12300393060 13530432366 15033813740 22550720610 27060864732 33826080915 45101441220 67652161830 135304323660