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2107300 = 2252131621
BaseRepresentation
bin1000000010011110100100
310222001200011
420002132210
51014413200
6113100004
723624506
oct10023644
93861604
102107300
11120a278
12857604
1358a230
143cbd76
152b95ba
hex2027a4

2107300 has 36 divisors (see below), whose sum is σ = 4927636. Its totient is φ = 777600.

The previous prime is 2107289. The next prime is 2107319. The reversal of 2107300 is 37012.

It can be written as a sum of positive squares in 6 ways, for example, as 79524 + 2027776 = 282^2 + 1424^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490 + ... + 2110.

22107300 is an apocalyptic number.

2107300 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 2107300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463818).

2107300 is an abundant number, since it is smaller than the sum of its proper divisors (2820336).

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

2107300 is a wasteful number, since it uses less digits than its factorization.

2107300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 2107300 is about 1451.6542288024. The cubic root of 2107300 is about 128.2061294623.

The spelling of 2107300 in words is "two million, one hundred seven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1621 3242 6484 8105 16210 21073 32420 40525 42146 81050 84292 105365 162100 210730 421460 526825 1053650 2107300