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2031400 = 235271451
BaseRepresentation
bin111101111111100101000
310211012120001
413233330220
51010001100
6111312344
723160310
oct7577450
93735501
102031400
111168248
1281b6b4
13561817
143ac440
152a1d6a
hex1eff28

2031400 has 48 divisors (see below), whose sum is σ = 5401440. Its totient is φ = 696000.

The previous prime is 2031397. The next prime is 2031409. The reversal of 2031400 is 41302.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675 + ... + 2125.

It is an arithmetic number, because the mean of its divisors is an integer number (112530).

22031400 is an apocalyptic number.

2031400 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 2031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700720).

2031400 is an abundant number, since it is smaller than the sum of its proper divisors (3370040).

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

2031400 is a wasteful number, since it uses less digits than its factorization.

2031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2031400 is about 1425.2719038836. The cubic root of 2031400 is about 126.6480428143.

Adding to 2031400 its reverse (41302), we get a palindrome (2072702).

The spelling of 2031400 in words is "two million, thirty-one 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 1451 2902 5804 7255 10157 11608 14510 20314 29020 36275 40628 50785 58040 72550 81256 101570 145100 203140 253925 290200 406280 507850 1015700 2031400