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2090900 = 2252729103
BaseRepresentation
bin111111110011110010100
310221020011202
413332132110
51013402100
6112452032
723525630
oct7763624
93836152
102090900
1111a8a19
1284a018
13582926
143c5dc0
152b47d5
hex1fe794

2090900 has 72 divisors (see below), whose sum is σ = 5416320. Its totient is φ = 685440.

The previous prime is 2090873. The next prime is 2090923. The reversal of 2090900 is 90902.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20249 + ... + 20351.

22090900 is an apocalyptic number.

2090900 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 2090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708160).

2090900 is an abundant number, since it is smaller than the sum of its proper divisors (3325420).

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

2090900 is a wasteful number, since it uses less digits than its factorization.

2090900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 2090900 is about 1445.9944674860. The cubic root of 2090900 is about 127.8726761250.

The spelling of 2090900 in words is "two million, ninety thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 103 116 140 145 175 203 206 290 350 406 412 515 580 700 721 725 812 1015 1030 1442 1450 2030 2060 2575 2884 2900 2987 3605 4060 5075 5150 5974 7210 10150 10300 11948 14420 14935 18025 20300 20909 29870 36050 41818 59740 72100 74675 83636 104545 149350 209090 298700 418180 522725 1045450 2090900