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8145306 = 2331341283
BaseRepresentation
bin11111000100100110011010
3120022211021000
4133010212122
54041122211
6450325430
7126143151
oct37044632
916284230
108145306
114663764
122889876
1318c2610
141120598
15aad656
hex7c499a

8145306 has 64 divisors (see below), whose sum is σ = 20039040. Its totient is φ = 2436480.

The previous prime is 8145299. The next prime is 8145323. The reversal of 8145306 is 6035418.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8145306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28641 + ... + 28923.

It is an arithmetic number, because the mean of its divisors is an integer number (313110).

Almost surely, 28145306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8145306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10019520).

8145306 is an abundant number, since it is smaller than the sum of its proper divisors (11893734).

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

8145306 is a wasteful number, since it uses less digits than its factorization.

8145306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8145306 is about 2853.9982480723. The cubic root of 8145306 is about 201.2036252339.

The spelling of 8145306 in words is "eight million, one hundred forty-five thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 82 117 123 234 246 283 351 369 533 566 702 738 849 1066 1107 1599 1698 2214 2547 3198 3679 4797 5094 7358 7641 9594 11037 11603 14391 15282 22074 23206 28782 33111 34809 66222 69618 99333 104427 150839 198666 208854 301678 313281 452517 626562 905034 1357551 2715102 4072653 8145306