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235728820 = 225192921391
BaseRepresentation
bin11100000110011…
…10111110110100
3121102120021011001
432003032332310
5440321310240
635220253044
75561443015
oct1603167664
9542507131
10235728820
11111076608
1266b41184
1339ab6a12
142344300c
1515a6589a
hexe0cefb4

235728820 has 48 divisors (see below), whose sum is σ = 539078400. Its totient is φ = 86244480.

The previous prime is 235728809. The next prime is 235728841. The reversal of 235728820 is 28827532.

It is a self number, because there is not a number n which added to its sum of digits gives 235728820.

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, 325 + ... + 21715.

It is an arithmetic number, because the mean of its divisors is an integer number (11230800).

Almost surely, 2235728820 is an apocalyptic number.

235728820 is a gapful number since it is divisible by the number (20) 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 235728820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269539200).

235728820 is an abundant number, since it is smaller than the sum of its proper divisors (303349580).

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

235728820 is a wasteful number, since it uses less digits than its factorization.

235728820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21448 (or 21446 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 235728820 is about 15353.4628015963. The cubic root of 235728820 is about 617.7378716073.

The spelling of 235728820 in words is "two hundred thirty-five million, seven hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 11020 21391 42782 85564 106955 213910 406429 427820 620339 812858 1240678 1625716 2032145 2481356 3101695 4064290 6203390 8128580 11786441 12406780 23572882 47145764 58932205 117864410 235728820