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1140739248 = 2431110121391
BaseRepresentation
bin100001111111110…
…0100110010110000
32221111111120001210
41003333210302300
54314012123443
6305110000120
740161060255
oct10377446260
92844446053
101140739248
11535a10310
1227a046040
13152445b4c
14ab70542c
156a231c33
hex43fe4cb0

1140739248 has 80 divisors (see below), whose sum is σ = 3246792192. Its totient is φ = 342240000.

The previous prime is 1140739247. The next prime is 1140739261. The reversal of 1140739248 is 8429370411.

It is not an unprimeable number, because it can be changed into a prime (1140739247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42633 + ... + 64023.

Almost surely, 21140739248 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 1140739248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623396096).

1140739248 is an abundant number, since it is smaller than the sum of its proper divisors (2106052944).

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

1140739248 is a wasteful number, since it uses less digits than its factorization.

1140739248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21514 (or 21508 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1140739248 is about 33774.8315761900. The cubic root of 1140739248 is about 1044.8696823978.

It can be divided in two parts, 114073 and 9248, that added together give a palindrome (123321).

The spelling of 1140739248 in words is "one billion, one hundred forty million, seven hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 13332 17776 21391 26664 42782 53328 64173 85564 128346 171128 235301 256692 342256 470602 513384 705903 941204 1026768 1411806 1882408 2160491 2823612 3764816 4320982 5647224 6481473 8641964 11294448 12962946 17283928 23765401 25925892 34567856 47530802 51851784 71296203 95061604 103703568 142592406 190123208 285184812 380246416 570369624 1140739248