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135533944 = 23713214321
BaseRepresentation
bin10000001010000…
…01010101111000
3100110000211121201
420011001111320
5234144041234
621240543544
73234006460
oct1005012570
9313024551
10135533944
116a561727
1239481bb4
1322105600
1414000ba0
15bd73314
hex8141578

135533944 has 48 divisors (see below), whose sum is σ = 314511120. Its totient is φ = 53614080.

The previous prime is 135533941. The next prime is 135533969. The reversal of 135533944 is 449335531.

135533944 = T322 + T323 + ... + T945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135533941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2304 + ... + 16624.

It is an arithmetic number, because the mean of its divisors is an integer number (6552315).

Almost surely, 2135533944 is an apocalyptic number.

135533944 is a gapful number since it is divisible by the number (14) 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 135533944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157255560).

135533944 is an abundant number, since it is smaller than the sum of its proper divisors (178977176).

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

135533944 is a wasteful number, since it uses less digits than its factorization.

135533944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14360 (or 14343 counting only the distinct ones).

The product of its digits is 97200, while the sum is 37.

The square root of 135533944 is about 11641.9046551670. The cubic root of 135533944 is about 513.6682138640.

The spelling of 135533944 in words is "one hundred thirty-five million, five hundred thirty-three thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9464 14321 28642 57284 100247 114568 186173 200494 372346 400988 744692 801976 1303211 1489384 2420249 2606422 4840498 5212844 9680996 10425688 16941743 19361992 33883486 67766972 135533944