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8142036 = 2237261227
BaseRepresentation
bin11111000011110011010100
3120022122202220
4133003303110
54041021121
6450302340
7126130500
oct37036324
916278686
108142036
114661261
1228879b0
1318c0c96
14111d300
15aac6c6
hex7c3cd4

8142036 has 72 divisors (see below), whose sum is σ = 22561056. Its totient is φ = 2278080.

The previous prime is 8141999. The next prime is 8142037. The reversal of 8142036 is 6302418.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8141997 and 8142015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142037) 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 23 ways as a sum of consecutive naturals, for example, 35755 + ... + 35981.

It is an arithmetic number, because the mean of its divisors is an integer number (313348).

Almost surely, 28142036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8142036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280528).

8142036 is an abundant number, since it is smaller than the sum of its proper divisors (14419020).

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

8142036 is a wasteful number, since it uses less digits than its factorization.

8142036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8142036 is about 2853.4253100441. The cubic root of 8142036 is about 201.1766966807.

It can be divided in two parts, 814 and 2036, that added together give a triangular number (2850 = T75).

The spelling of 8142036 in words is "eight million, one hundred forty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 227 244 294 366 427 454 588 681 732 854 908 1281 1362 1589 1708 2562 2724 2989 3178 4767 5124 5978 6356 8967 9534 11123 11956 13847 17934 19068 22246 27694 33369 35868 41541 44492 55388 66738 83082 96929 133476 166164 193858 290787 387716 581574 678503 1163148 1357006 2035509 2714012 4071018 8142036