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2131400320 = 2757475759
BaseRepresentation
bin111111100001010…
…1001011010000000
312111112121100120121
41333002221122000
513331114302240
6551255150024
7103550414050
oct17702513200
95445540517
102131400320
119a4135675
124b5975314
1327c76332a
14163101560
15c71bb04a
hex7f0a9680

2131400320 has 64 divisors (see below), whose sum is σ = 5823302400. Its totient is φ = 730764288.

The previous prime is 2131400251. The next prime is 2131400339. The reversal of 2131400320 is 230041312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21314003202 = 9085734648192204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2131400294 and 2131400303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233400 + ... + 242359.

It is an arithmetic number, because the mean of its divisors is an integer number (90989100).

Almost surely, 22131400320 is an apocalyptic number.

2131400320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131400320 is an abundant number, since it is smaller than the sum of its proper divisors (3691902080).

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

2131400320 is an equidigital number, since it uses as much as digits as its factorization.

2131400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475785 (or 475773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2131400320 is about 46167.0913097197. The cubic root of 2131400320 is about 1286.9302486776.

Adding to 2131400320 its reverse (230041312), we get a palindrome (2361441632).

The spelling of 2131400320 in words is "two billion, one hundred thirty-one million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 475759 951518 1903036 2378795 3330313 3806072 4757590 6660626 7612144 9515180 13321252 15224288 16651565 19030360 26642504 30448576 33303130 38060720 53285008 60897152 66606260 76121440 106570016 133212520 152242880 213140032 266425040 304485760 426280064 532850080 1065700160 2131400320