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235830540 = 223511357319
BaseRepresentation
bin11100000111001…
…11110100001100
3121102202102200110
432003213310030
5440333034130
635222400020
75562345411
oct1603476414
9542672613
10235830540
11111135a80
1266b90010
1339b210ca
142346c108
1515a85ab0
hexe0e7d0c

235830540 has 48 divisors (see below), whose sum is σ = 720357120. Its totient is φ = 57170880.

The previous prime is 235830503. The next prime is 235830541. The reversal of 235830540 is 45038532.

235830540 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 235830498 and 235830507.

It is not an unprimeable number, because it can be changed into a prime (235830541) 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, 178000 + ... + 179319.

It is an arithmetic number, because the mean of its divisors is an integer number (15007440).

Almost surely, 2235830540 is an apocalyptic number.

235830540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235830540 is an abundant number, since it is smaller than the sum of its proper divisors (484526580).

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

235830540 is a wasteful number, since it uses less digits than its factorization.

235830540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357342 (or 357340 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 235830540 is about 15356.7750520739. The cubic root of 235830540 is about 617.8267127600.

The spelling of 235830540 in words is "two hundred thirty-five million, eight hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 357319 714638 1071957 1429276 1786595 2143914 3573190 3930509 4287828 5359785 7146380 7861018 10719570 11791527 15722036 19652545 21439140 23583054 39305090 47166108 58957635 78610180 117915270 235830540