Search a number
-
+
2402568 = 233372227
BaseRepresentation
bin1001001010100100001000
311112001201000
421022210020
51103340233
6123255000
726264400
oct11124410
94461630
102402568
1113a10a3
1297a460
1366174c
14467800
15326d13
hex24a908

2402568 has 96 divisors (see below), whose sum is σ = 7797600. Its totient is φ = 683424.

The previous prime is 2402567. The next prime is 2402573. The reversal of 2402568 is 8652042.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2402567) 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 23 ways as a sum of consecutive naturals, for example, 10471 + ... + 10697.

It is an arithmetic number, because the mean of its divisors is an integer number (81225).

22402568 is an apocalyptic number.

2402568 is a gapful number since it is divisible by the number (28) 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 2402568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898800).

2402568 is an abundant number, since it is smaller than the sum of its proper divisors (5395032).

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

2402568 is a wasteful number, since it uses less digits than its factorization.

2402568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2402568 is about 1550.0219353287. The cubic root of 2402568 is about 133.9343258785.

The spelling of 2402568 in words is "two million, four hundred two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 227 252 294 378 392 441 454 504 588 681 756 882 908 1176 1323 1362 1512 1589 1764 1816 2043 2646 2724 3178 3528 4086 4767 5292 5448 6129 6356 8172 9534 10584 11123 12258 12712 14301 16344 19068 22246 24516 28602 33369 38136 42903 44492 49032 57204 66738 85806 88984 100107 114408 133476 171612 200214 266952 300321 343224 400428 600642 800856 1201284 2402568