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2402064 = 243272383
BaseRepresentation
bin1001001010011100010000
311112001000100
421022130100
51103331224
6123252400
726263050
oct11123420
94461010
102402064
1113a0785
1297a100
13661452
14467560
15326ac9
hex24a710

2402064 has 60 divisors (see below), whose sum is σ = 7686016. Its totient is φ = 686016.

The previous prime is 2402053. The next prime is 2402087. The reversal of 2402064 is 4602042.

It is a super-2 number, since 2×24020642 = 11539822920192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184 + ... + 2199.

22402064 is an apocalyptic number.

2402064 is a gapful number since it is divisible by the number (24) 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 2402064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843008).

2402064 is an abundant number, since it is smaller than the sum of its proper divisors (5283952).

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

2402064 is a wasteful number, since it uses less digits than its factorization.

2402064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2402064 is about 1549.8593484571. The cubic root of 2402064 is about 133.9249598417.

It can be divided in two parts, 240 and 2064, that added together give a square (2304 = 482).

The spelling of 2402064 in words is "two million, four hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2383 4766 7149 9532 14298 16681 19064 21447 28596 33362 38128 42894 50043 57192 66724 85788 100086 114384 133448 150129 171576 200172 266896 300258 343152 400344 600516 800688 1201032 2402064