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2142127400 = 235271530091
BaseRepresentation
bin111111110101110…
…0100010100101000
312112021210100100212
41333223210110220
513341341034100
6552321120252
7104040532250
oct17753442450
95467710325
102142127400
119aa1a2026
124b9489088
13281a4ab0a
141646d4960
15c80d9635
hex7fae4528

2142127400 has 48 divisors (see below), whose sum is σ = 5691942240. Its totient is φ = 734443200.

The previous prime is 2142127399. The next prime is 2142127433. The reversal of 2142127400 is 47212412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 763646 + ... + 766445.

It is an arithmetic number, because the mean of its divisors is an integer number (118582130).

Almost surely, 22142127400 is an apocalyptic number.

2142127400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142127400 is an abundant number, since it is smaller than the sum of its proper divisors (3549814840).

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

2142127400 is a wasteful number, since it uses less digits than its factorization.

2142127400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530114 (or 1530105 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2142127400 is about 46283.1221937328. The cubic root of 2142127400 is about 1289.0856248879.

Adding to 2142127400 its reverse (47212412), we get a palindrome (2189339812).

The spelling of 2142127400 in words is "two billion, one hundred forty-two million, one hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1530091 3060182 6120364 7650455 10710637 12240728 15300910 21421274 30601820 38252275 42842548 53553185 61203640 76504550 85685096 107106370 153009100 214212740 267765925 306018200 428425480 535531850 1071063700 2142127400