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2387968 = 2121153
BaseRepresentation
bin1001000111000000000000
311111022200021
421013000000
51102403333
6123103224
726204002
oct11070000
94438607
102387968
111391130
12971b14
13657bcb
14462372
1532282d
hex247000

2387968 has 52 divisors (see below), whose sum is σ = 5307768. Its totient is φ = 1064960.

The previous prime is 2387953. The next prime is 2387969. The reversal of 2387968 is 8697832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2387969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45030 + ... + 45082.

22387968 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 2387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653884).

2387968 is an abundant number, since it is smaller than the sum of its proper divisors (2919800).

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

2387968 is an equidigital number, since it uses as much as digits as its factorization.

2387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 2387968 is about 1545.3051478592. The cubic root of 2387968 is about 133.6624757100.

The spelling of 2387968 in words is "two million, three hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 352 424 512 583 704 848 1024 1166 1408 1696 2048 2332 2816 3392 4096 4664 5632 6784 9328 11264 13568 18656 22528 27136 37312 45056 54272 74624 108544 149248 217088 298496 596992 1193984 2387968