Search a number
-
+
235415540 = 22543273739
BaseRepresentation
bin11100000100000…
…10011111110100
3121101222100102002
432002002133310
5440231244130
635205434432
75555666453
oct1602023764
9541870362
10235415540
111109821a8
1266a0ba18
1339a07249
14233a0b9a
1515a02b45
hexe0827f4

235415540 has 24 divisors (see below), whose sum is σ = 505871520. Its totient is φ = 91975968.

The previous prime is 235415513. The next prime is 235415549. The reversal of 235415540 is 45514532.

235415540 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

235415540 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235415549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136010 + ... + 137729.

It is an arithmetic number, because the mean of its divisors is an integer number (21077980).

Almost surely, 2235415540 is an apocalyptic number.

235415540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235415540 is an abundant number, since it is smaller than the sum of its proper divisors (270455980).

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

235415540 is a wasteful number, since it uses less digits than its factorization.

235415540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273791 (or 273789 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 235415540 is about 15343.2571509442. The cubic root of 235415540 is about 617.4640955592.

The spelling of 235415540 in words is "two hundred thirty-five million, four hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 273739 547478 1094956 1368695 2737390 5474780 11770777 23541554 47083108 58853885 117707770 235415540