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2145400 = 235217631
BaseRepresentation
bin1000001011110001111000
311000222221021
420023301320
51022123100
6113552224
724143545
oct10136170
94028837
102145400
111235964
12875674
135a168a
143dbbcc
152c5a1a
hex20bc78

2145400 has 48 divisors (see below), whose sum is σ = 5289840. Its totient is φ = 806400.

The previous prime is 2145389. The next prime is 2145401. The reversal of 2145400 is 45412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145401) 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, 3085 + ... + 3715.

It is an arithmetic number, because the mean of its divisors is an integer number (110205).

22145400 is an apocalyptic number.

2145400 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 2145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644920).

2145400 is an abundant number, since it is smaller than the sum of its proper divisors (3144440).

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

2145400 is a wasteful number, since it uses less digits than its factorization.

2145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2145400 is about 1464.7184029703. The cubic root of 2145400 is about 128.9741750679.

The spelling of 2145400 in words is "two million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 631 680 850 1262 1700 2524 3155 3400 5048 6310 10727 12620 15775 21454 25240 31550 42908 53635 63100 85816 107270 126200 214540 268175 429080 536350 1072700 2145400