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2130451800 = 233529913583
BaseRepresentation
bin111111011111100…
…0001110101011000
312111110211011110020
41332333001311120
513330343424200
6551222550440
7103536353511
oct17677016530
95443734406
102130451800
119a3647a74
124b5598420
1327c4c0689
14162d35a08
15c707eea0
hex7efc1d58

2130451800 has 96 divisors (see below), whose sum is σ = 6612910080. Its totient is φ = 567388800.

The previous prime is 2130451777. The next prime is 2130451811. The reversal of 2130451800 is 81540312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592809 + ... + 596391.

It is an arithmetic number, because the mean of its divisors is an integer number (68884480).

Almost surely, 22130451800 is an apocalyptic number.

2130451800 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 2130451800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306455040).

2130451800 is an abundant number, since it is smaller than the sum of its proper divisors (4482458280).

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

2130451800 is a wasteful number, since it uses less digits than its factorization.

2130451800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2130451800 is about 46156.8174812779. The cubic root of 2130451800 is about 1286.7393162674.

The spelling of 2130451800 in words is "two billion, one hundred thirty million, four hundred fifty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 991 1982 2973 3583 3964 4955 5946 7166 7928 9910 10749 11892 14332 14865 17915 19820 21498 23784 24775 28664 29730 35830 39640 42996 49550 53745 59460 71660 74325 85992 89575 99100 107490 118920 143320 148650 179150 198200 214980 268725 297300 358300 429960 537450 594600 716600 1074900 2149800 3550753 7101506 10652259 14203012 17753765 21304518 28406024 35507530 42609036 53261295 71015060 85218072 88768825 106522590 142030120 177537650 213045180 266306475 355075300 426090360 532612950 710150600 1065225900 2130451800