Search a number
-
+
2874768 = 2431317271
BaseRepresentation
bin1010111101110110010000
312102001102220
422331312100
51213443033
6141341040
733302151
oct12756620
95361386
102874768
111693946
12b67780
13798660
1454b928
153bbbb3
hex2bdd90

2874768 has 80 divisors (see below), whose sum is σ = 8499456. Its totient is φ = 829440.

The previous prime is 2874749. The next prime is 2874791. The reversal of 2874768 is 8674782.

2874768 is nontrivially palindromic in base 15.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10473 + ... + 10743.

22874768 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 2874768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249728).

2874768 is an abundant number, since it is smaller than the sum of its proper divisors (5624688).

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

2874768 is a wasteful number, since it uses less digits than its factorization.

2874768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 2874768 is about 1695.5140813334. The cubic root of 2874768 is about 142.1895240947.

The spelling of 2874768 in words is "two million, eight hundred seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 271 272 312 408 442 542 624 663 813 816 884 1084 1326 1626 1768 2168 2652 3252 3523 3536 4336 4607 5304 6504 7046 9214 10569 10608 13008 13821 14092 18428 21138 27642 28184 36856 42276 55284 56368 59891 73712 84552 110568 119782 169104 179673 221136 239564 359346 479128 718692 958256 1437384 2874768