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2141400 = 233524383
BaseRepresentation
bin1000001010110011011000
311000210110010
420022303120
51022011100
6113521520
724126102
oct10126330
94023403
102141400
111232958
128732a0
1359c901
143da572
152c4750
hex20acd8

2141400 has 96 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 551040.

The previous prime is 2141333. The next prime is 2141401. The reversal of 2141400 is 41412.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25759 + ... + 25841.

It is an arithmetic number, because the mean of its divisors is an integer number (71610).

22141400 is an apocalyptic number.

2141400 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 2141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2141400 is an abundant number, since it is smaller than the sum of its proper divisors (4733160).

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

2141400 is a wasteful number, since it uses less digits than its factorization.

2141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2141400 is about 1463.3523157463. The cubic root of 2141400 is about 128.8939697209.

Adding to 2141400 its sum of digits (12), we get a palindrome (2141412).

Adding to 2141400 its reverse (41412), we get a palindrome (2182812).

The spelling of 2141400 in words is "two million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 83 86 100 120 129 150 166 172 200 215 249 258 300 332 344 415 430 498 516 600 645 664 830 860 996 1032 1075 1245 1290 1660 1720 1992 2075 2150 2490 2580 3225 3320 3569 4150 4300 4980 5160 6225 6450 7138 8300 8600 9960 10707 12450 12900 14276 16600 17845 21414 24900 25800 28552 35690 42828 49800 53535 71380 85656 89225 107070 142760 178450 214140 267675 356900 428280 535350 713800 1070700 2141400