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240142104 = 23331796211
BaseRepresentation
bin11100101000001…
…00011100011000
3121201212111001000
432110010130120
5442434021404
635455025000
75644113516
oct1624043430
9551774030
10240142104
11113610354
126850b160
133a9a0727
1423c714b6
1516138339
hexe504718

240142104 has 64 divisors (see below), whose sum is σ = 670896000. Its totient is φ = 79587360.

The previous prime is 240142087. The next prime is 240142109. The reversal of 240142104 is 401241042.

240142104 is a `hidden beast` number, since 240 + 1 + 421 + 0 + 4 = 666.

It is a super-2 number, since 2×2401421042 = 115336460227093632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240142109) 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 15 ways as a sum of consecutive naturals, for example, 35559 + ... + 41769.

It is an arithmetic number, because the mean of its divisors is an integer number (10482750).

Almost surely, 2240142104 is an apocalyptic number.

240142104 is a gapful number since it is divisible by the number (24) 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 240142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335448000).

240142104 is an abundant number, since it is smaller than the sum of its proper divisors (430753896).

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

240142104 is a wasteful number, since it uses less digits than its factorization.

240142104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 240142104 is about 15496.5190930092. The cubic root of 240142104 is about 621.5691298156.

Adding to 240142104 its reverse (401241042), we get a palindrome (641383146).

The spelling of 240142104 in words is "two hundred forty million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 358 537 716 1074 1432 1611 2148 3222 4296 4833 6211 6444 9666 12422 12888 18633 19332 24844 37266 38664 49688 55899 74532 111798 149064 167697 223596 335394 447192 670788 1111769 1341576 2223538 3335307 4447076 6670614 8894152 10005921 13341228 20011842 26682456 30017763 40023684 60035526 80047368 120071052 240142104