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2023028766 = 2321126115227
BaseRepresentation
bin111100010010100…
…1111100000011110
312012222200111202100
41320211033200132
513120343410031
6532424305530
7101063314023
oct17045174036
95188614670
102023028766
11948a46500
124856122a6
1326317b255
1415297154a
15bc910de6
hex7894f81e

2023028766 has 72 divisors (see below), whose sum is σ = 4897233432. Its totient is φ = 602949600.

The previous prime is 2023028729. The next prime is 2023028771. The reversal of 2023028766 is 6678203202.

2023028766 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2023028766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125245 + ... + 140471.

It is an arithmetic number, because the mean of its divisors is an integer number (68017131).

Almost surely, 22023028766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023028766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448616716).

2023028766 is an abundant number, since it is smaller than the sum of its proper divisors (2874204666).

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

2023028766 is a wasteful number, since it uses less digits than its factorization.

2023028766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15318 (or 15304 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2023028766 is about 44978.0920671386. The cubic root of 2023028766 is about 1264.7383453786.

The spelling of 2023028766 in words is "two billion, twenty-three million, twenty-eight thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 121 122 183 198 242 363 366 549 671 726 1089 1098 1342 2013 2178 4026 6039 7381 12078 14762 15227 22143 30454 44286 45681 66429 91362 132858 137043 167497 274086 334994 502491 928847 1004982 1507473 1842467 1857694 2786541 3014946 3684934 5527401 5573082 8359623 10217317 11054802 16582203 16719246 20434634 30651951 33164406 61303902 91955853 112390487 183911706 224780974 337171461 674342922 1011514383 2023028766