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2190300 = 2235272149
BaseRepresentation
bin1000010110101111011100
311010021112020
420112233130
51030042200
6114540140
724421500
oct10265734
94107466
102190300
111266672
12897650
135b8c48
14410300
152d3ea0
hex216bdc

2190300 has 108 divisors (see below), whose sum is σ = 7421400. Its totient is φ = 497280.

The previous prime is 2190299. The next prime is 2190311. The reversal of 2190300 is 30912.

2190300 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

2190300 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2190300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14626 + ... + 14774.

22190300 is an apocalyptic number.

2190300 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 2190300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710700).

2190300 is an abundant number, since it is smaller than the sum of its proper divisors (5231100).

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

2190300 is a wasteful number, since it uses less digits than its factorization.

2190300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 2190300 is about 1479.9662158306. The cubic root of 2190300 is about 129.8677155352.

The spelling of 2190300 in words is "two million, one hundred ninety thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 149 150 175 196 210 245 294 298 300 350 420 447 490 525 588 596 700 735 745 894 980 1043 1050 1225 1470 1490 1788 2086 2100 2235 2450 2940 2980 3129 3675 3725 4172 4470 4900 5215 6258 7301 7350 7450 8940 10430 11175 12516 14602 14700 14900 15645 20860 21903 22350 26075 29204 31290 36505 43806 44700 52150 62580 73010 78225 87612 104300 109515 146020 156450 182525 219030 312900 365050 438060 547575 730100 1095150 2190300