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8530368 = 263711577
BaseRepresentation
bin100000100010…
…100111000000
3121001101110120
4200202213000
54140432433
6502500240
7132335610
oct40424700
917041416
108530368
1148a6aa0
122a34680
1319c8972
1411c0a40
15b377b3
hex8229c0

8530368 has 112 divisors (see below), whose sum is σ = 28187904. Its totient is φ = 2211840.

The previous prime is 8530367. The next prime is 8530391. The reversal of 8530368 is 8630358.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8530367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14496 + ... + 15072.

Almost surely, 28530368 is an apocalyptic number.

8530368 is a gapful number since it is divisible by the number (88) 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 8530368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14093952).

8530368 is an abundant number, since it is smaller than the sum of its proper divisors (19657536).

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

8530368 is a wasteful number, since it uses less digits than its factorization.

8530368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 8530368 is about 2920.6793730227. The cubic root of 8530368 is about 204.3255087823.

The spelling of 8530368 in words is "eight million, five hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 577 616 672 704 924 1056 1154 1232 1344 1731 1848 2112 2308 2464 3462 3696 4039 4616 4928 6347 6924 7392 8078 9232 12117 12694 13848 14784 16156 18464 19041 24234 25388 27696 32312 36928 38082 44429 48468 50776 55392 64624 76164 88858 96936 101552 110784 129248 133287 152328 177716 193872 203104 258496 266574 304656 355432 387744 406208 533148 609312 710864 775488 1066296 1218624 1421728 2132592 2843456 4265184 8530368