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2123402240 = 2105641647
BaseRepresentation
bin111111010010000…
…1000110000000000
312110222120000021102
41332210020300000
513322042332430
6550411513532
7103422423041
oct17644106000
95428500242
102123402240
1199a672593
124b31588a8
1327abc2a3b
1416201c8c8
15c663b345
hex7e908c00

2123402240 has 88 divisors (see below), whose sum is σ = 5109508512. Its totient is φ = 846725120.

The previous prime is 2123402233. The next prime is 2123402261. The reversal of 2123402240 is 422043212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3281597 + ... + 3282243.

Almost surely, 22123402240 is an apocalyptic number.

2123402240 is a gapful number since it is divisible by the number (20) 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 2123402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554754256).

2123402240 is an abundant number, since it is smaller than the sum of its proper divisors (2986106272).

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

2123402240 is an equidigital number, since it uses as much as digits as its factorization.

2123402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2123402240 is about 46080.3888872479. The cubic root of 2123402240 is about 1285.3184956459.

Adding to 2123402240 its reverse (422043212), we get a palindrome (2545445452).

The spelling of 2123402240 in words is "two billion, one hundred twenty-three million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 641 647 1024 1280 1282 1294 2560 2564 2588 3205 3235 5120 5128 5176 6410 6470 10256 10352 12820 12940 20512 20704 25640 25880 41024 41408 51280 51760 82048 82816 102560 103520 164096 165632 205120 207040 328192 331264 410240 414080 414727 656384 662528 820480 828160 829454 1640960 1656320 1658908 2073635 3281920 3312640 3317816 4147270 6635632 8294540 13271264 16589080 26542528 33178160 53085056 66356320 106170112 132712640 212340224 265425280 424680448 530850560 1061701120 2123402240