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235097920 = 2652712711
BaseRepresentation
bin11100000001101…
…00111101000000
3121101101012201101
432000310331000
5440141113140
635154544144
75553204451
oct1600647500
9541335641
10235097920
11110785602
1266898054
13399257c5
142331b128
151598d99a
hexe034f40

235097920 has 56 divisors (see below), whose sum is σ = 562099968. Its totient is φ = 93657600.

The previous prime is 235097873. The next prime is 235097921. The reversal of 235097920 is 29790532.

It is a self number, because there is not a number n which added to its sum of digits gives 235097920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235097921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 85365 + ... + 88075.

Almost surely, 2235097920 is an apocalyptic number.

235097920 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 235097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281049984).

235097920 is an abundant number, since it is smaller than the sum of its proper divisors (327002048).

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

235097920 is a wasteful number, since it uses less digits than its factorization.

235097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 235097920 is about 15332.9031823722. The cubic root of 235097920 is about 617.1862787072.

The spelling of 235097920 in words is "two hundred thirty-five million, ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 271 320 542 1084 1355 2168 2710 2711 4336 5420 5422 8672 10840 10844 13555 17344 21680 21688 27110 43360 43376 54220 86720 86752 108440 173504 216880 433760 734681 867520 1469362 2938724 3673405 5877448 7346810 11754896 14693620 23509792 29387240 47019584 58774480 117548960 235097920