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2137400 = 235210687
BaseRepresentation
bin1000001001110100111000
311000120221222
420021310320
51021344100
6113451212
724111326
oct10116470
94016858
102137400
11122a951
12870b08
1359ab45
143d8d16
152c3485
hex209d38

2137400 has 24 divisors (see below), whose sum is σ = 4969920. Its totient is φ = 854880.

The previous prime is 2137397. The next prime is 2137409. The reversal of 2137400 is 47312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5144 + ... + 5543.

It is an arithmetic number, because the mean of its divisors is an integer number (207080).

22137400 is an apocalyptic number.

2137400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137400 is an abundant number, since it is smaller than the sum of its proper divisors (2832520).

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

2137400 is a wasteful number, since it uses less digits than its factorization.

2137400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10703 (or 10694 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 2137400 is about 1461.9849520429. The cubic root of 2137400 is about 128.8136644325.

It can be divided in two parts, 213 and 7400, that multiplied together give a triangular number (1576200 = T1775).

The spelling of 2137400 in words is "two million, one hundred thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10687 21374 42748 53435 85496 106870 213740 267175 427480 534350 1068700 2137400