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8053668 = 223475367
BaseRepresentation
bin11110101110001110100100
3120011011120000
4132232032210
54030204133
6444341300
7125312040
oct36561644
916134500
108053668
114600927
122844830
13188c9ac
1410d9020
15a91413
hex7ae3a4

8053668 has 120 divisors (see below), whose sum is σ = 24881472. Its totient is φ = 2223936.

The previous prime is 8053651. The next prime is 8053687. The reversal of 8053668 is 8663508.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 120171 + ... + 120237.

Almost surely, 28053668 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 8053668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440736).

8053668 is an abundant number, since it is smaller than the sum of its proper divisors (16827804).

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

8053668 is a wasteful number, since it uses less digits than its factorization.

8053668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8053668 is about 2837.8985182702. The cubic root of 8053668 is about 200.4462369557.

Subtracting from 8053668 its product of nonzero digits (34560), we obtain a palindrome (8019108).

The spelling of 8053668 in words is "eight million, fifty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 67 81 84 106 108 126 134 159 162 189 201 212 252 268 318 324 371 378 402 469 477 567 603 636 742 756 804 938 954 1113 1134 1206 1407 1431 1484 1809 1876 1908 2226 2268 2412 2814 2862 3339 3551 3618 4221 4293 4452 5427 5628 5724 6678 7102 7236 8442 8586 10017 10653 10854 12663 13356 14204 16884 17172 20034 21306 21708 24857 25326 30051 31959 37989 40068 42612 49714 50652 60102 63918 74571 75978 95877 99428 120204 127836 149142 151956 191754 223713 287631 298284 383508 447426 575262 671139 894852 1150524 1342278 2013417 2684556 4026834 8053668