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235413120 = 2735122611
BaseRepresentation
bin11100000100000…
…01111010000000
3121101222020002110
432002001322000
5440231204440
635205415320
75555656425
oct1602017200
9541866073
10235413120
111109803a8
1266a0a540
1339a06107
142339dd4c
1515a02080
hexe081e80

235413120 has 64 divisors (see below), whose sum is σ = 750385440. Its totient is φ = 62776320.

The previous prime is 235413109. The next prime is 235413133. The reversal of 235413120 is 21314532.

235413120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59386 + ... + 63225.

Almost surely, 2235413120 is an apocalyptic number.

235413120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235413120 is an abundant number, since it is smaller than the sum of its proper divisors (514972320).

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

235413120 is a wasteful number, since it uses less digits than its factorization.

235413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122633 (or 122621 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 235413120 is about 15343.1782887380. The cubic root of 235413120 is about 617.4619797710.

Adding to 235413120 its reverse (21314532), we get a palindrome (256727652).

The spelling of 235413120 in words is "two hundred thirty-five million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 122611 245222 367833 490444 613055 735666 980888 1226110 1471332 1839165 1961776 2452220 2942664 3678330 3923552 4904440 5885328 7356660 7847104 9808880 11770656 14713320 15694208 19617760 23541312 29426640 39235520 47082624 58853280 78471040 117706560 235413120