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235242090 = 23351753967
BaseRepresentation
bin11100000010110…
…00001001101010
3121101122112111000
432001120021222
5440210221330
635202015430
75554344666
oct1601301152
9541575430
10235242090
11110873956
1266947576
1339976305
14233578a6
15159bb560
hexe05826a

235242090 has 128 divisors (see below), whose sum is σ = 677445120. Its totient is φ = 57867264.

The previous prime is 235242067. The next prime is 235242109. The reversal of 235242090 is 90242532.

235242090 is a `hidden beast` number, since 235 + 2 + 420 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242787 + ... + 243753.

It is an arithmetic number, because the mean of its divisors is an integer number (5292540).

Almost surely, 2235242090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235242090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338722560).

235242090 is an abundant number, since it is smaller than the sum of its proper divisors (442203030).

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

235242090 is a wasteful number, since it uses less digits than its factorization.

235242090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 235242090 is about 15337.6037893799. The cubic root of 235242090 is about 617.3124127645.

The spelling of 235242090 in words is "two hundred thirty-five million, two hundred forty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 53 54 85 90 102 106 135 153 159 170 255 265 270 306 318 459 477 510 530 765 795 901 918 954 967 1431 1530 1590 1802 1934 2295 2385 2703 2862 2901 4505 4590 4770 4835 5406 5802 7155 8109 8703 9010 9670 13515 14310 14505 16218 16439 17406 24327 26109 27030 29010 32878 40545 43515 48654 49317 51251 52218 81090 82195 87030 98634 102502 121635 130545 147951 153753 164390 243270 246585 256255 261090 295902 307506 443853 461259 493170 512510 739755 768765 871267 887706 922518 1383777 1479510 1537530 1742534 2219265 2306295 2613801 2767554 4356335 4438530 4612590 5227602 6918885 7841403 8712670 13069005 13837770 15682806 23524209 26138010 39207015 47048418 78414030 117621045 235242090