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135727220 = 225411031607
BaseRepresentation
bin10000001011100…
…00100001110100
3100110101122202002
420011300201310
5234221232340
621245034432
73235443116
oct1005604164
9313348662
10135727220
116a683962
1239555a18
1322172585
14140513b6
15bdb0715
hex8170874

135727220 has 48 divisors (see below), whose sum is σ = 294997248. Its totient is φ = 52419840.

The previous prime is 135727219. The next prime is 135727231. The reversal of 135727220 is 22727531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83657 + ... + 85263.

It is an arithmetic number, because the mean of its divisors is an integer number (6145776).

Almost surely, 2135727220 is an apocalyptic number.

135727220 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 135727220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147498624).

135727220 is an abundant number, since it is smaller than the sum of its proper divisors (159270028).

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

135727220 is a wasteful number, since it uses less digits than its factorization.

135727220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 135727220 is about 11650.2025733461. The cubic root of 135727220 is about 513.9122673216.

The spelling of 135727220 in words is "one hundred thirty-five million, seven hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 103 164 205 206 410 412 515 820 1030 1607 2060 3214 4223 6428 8035 8446 16070 16892 21115 32140 42230 65887 84460 131774 165521 263548 329435 331042 658870 662084 827605 1317740 1655210 3310420 6786361 13572722 27145444 33931805 67863610 135727220