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2045900 = 225241499
BaseRepresentation
bin111110011011111001100
310211221110002
413303133030
51010432100
6111503432
723250503
oct7633714
93757402
102045900
11117812a
12827b78
135682bc
143b383a
152a62d5
hex1f37cc

2045900 has 36 divisors (see below), whose sum is σ = 4557000. Its totient is φ = 796800.

The previous prime is 2045891. The next prime is 2045903. The reversal of 2045900 is 95402.

2045900 = T392 + T393 + ... + T416.

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

It is not an unprimeable number, because it can be changed into a prime (2045903) 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, 3851 + ... + 4349.

22045900 is an apocalyptic number.

2045900 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 2045900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278500).

2045900 is an abundant number, since it is smaller than the sum of its proper divisors (2511100).

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

2045900 is a wasteful number, since it uses less digits than its factorization.

2045900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2045900 is about 1430.3496076135. The cubic root of 2045900 is about 126.9486638156.

The spelling of 2045900 in words is "two million, forty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 499 820 998 1025 1996 2050 2495 4100 4990 9980 12475 20459 24950 40918 49900 81836 102295 204590 409180 511475 1022950 2045900