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235728090 = 233513239281
BaseRepresentation
bin11100000110011…
…10110011011010
3121102120020011000
432003032303122
5440321244330
635220245430
75561440623
oct1603166332
9542506130
10235728090
11111076004
1266b40876
1339ab65a0
1423442a4a
1515a65560
hexe0cecda

235728090 has 128 divisors (see below), whose sum is σ = 682214400. Its totient is φ = 57576960.

The previous prime is 235728089. The next prime is 235728109. The reversal of 235728090 is 90827532.

It is a happy number.

235728090 is a `hidden beast` number, since 2 + 3 + 572 + 80 + 9 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 838750 + ... + 839030.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2235728090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235728090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341107200).

235728090 is an abundant number, since it is smaller than the sum of its proper divisors (446486310).

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

235728090 is a wasteful number, since it uses less digits than its factorization.

235728090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 235728090 is about 15353.4390284392. The cubic root of 235728090 is about 617.7372339408.

The spelling of 235728090 in words is "two hundred thirty-five million, seven hundred twenty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 239 270 281 351 390 478 562 585 702 717 843 1170 1195 1405 1434 1686 1755 2151 2390 2529 2810 3107 3510 3585 3653 4215 4302 5058 6214 6453 7170 7306 7587 8430 9321 10755 10959 12645 12906 15174 15535 18265 18642 21510 21918 25290 27963 31070 32265 32877 36530 37935 46605 54795 55926 64530 65754 67159 75870 83889 93210 98631 109590 134318 139815 164385 167778 197262 201477 279630 328770 335795 402954 419445 493155 604431 671590 838890 873067 986310 1007385 1208862 1746134 1813293 2014770 2619201 3022155 3626586 4365335 5238402 6044310 7857603 8730670 9066465 13096005 15715206 18132930 23572809 26192010 39288015 47145618 78576030 117864045 235728090