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82300240 = 2451193523
BaseRepresentation
bin1001110011111…
…00110101010000
312201212021201001
410321330311100
5132032101430
612055551344
72016353251
oct471746520
9181767631
1082300240
1142502430
122368b554
1314087389
14ad04b28
15735a3ca
hex4e7cd50

82300240 has 40 divisors (see below), whose sum is σ = 208745568. Its totient is φ = 29927040.

The previous prime is 82300219. The next prime is 82300249. The reversal of 82300240 is 4200328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82300249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45882 + ... + 47641.

Almost surely, 282300240 is an apocalyptic number.

82300240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82300240 is an abundant number, since it is smaller than the sum of its proper divisors (126445328).

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

82300240 is a wasteful number, since it uses less digits than its factorization.

82300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93547 (or 93541 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 82300240 is about 9071.9479716321. The cubic root of 82300240 is about 434.9777414074.

Adding to 82300240 its reverse (4200328), we get a palindrome (86500568).

The spelling of 82300240 in words is "eighty-two million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 93523 187046 374092 467615 748184 935230 1028753 1496368 1870460 2057506 3740920 4115012 5143765 7481840 8230024 10287530 16460048 20575060 41150120 82300240