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235065040 = 24571093851
BaseRepresentation
bin11100000001011…
…00111011010000
3121101022112121121
432000230323100
5440134040130
635154132024
75553006550
oct1600547320
9541275547
10235065040
11110762931
1266881014
1339913852
142330d160
1515983d7a
hexe02ced0

235065040 has 80 divisors (see below), whose sum is σ = 630495360. Its totient is φ = 79833600.

The previous prime is 235064993. The next prime is 235065043. The reversal of 235065040 is 40560532.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 235064996 and 235065014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235065043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59115 + ... + 62965.

It is an arithmetic number, because the mean of its divisors is an integer number (7881192).

Almost surely, 2235065040 is an apocalyptic number.

235065040 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 235065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315247680).

235065040 is an abundant number, since it is smaller than the sum of its proper divisors (395430320).

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

235065040 is a wasteful number, since it uses less digits than its factorization.

235065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 235065040 is about 15331.8309408890. The cubic root of 235065040 is about 617.1575048372.

The spelling of 235065040 in words is "two hundred thirty-five million, sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 109 112 140 218 280 436 545 560 763 872 1090 1526 1744 2180 3052 3815 3851 4360 6104 7630 7702 8720 12208 15260 15404 19255 26957 30520 30808 38510 53914 61040 61616 77020 107828 134785 154040 215656 269570 308080 419759 431312 539140 839518 1078280 1679036 2098795 2156560 2938313 3358072 4197590 5876626 6716144 8395180 11753252 14691565 16790360 23506504 29383130 33580720 47013008 58766260 117532520 235065040