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5745100 = 225273787
BaseRepresentation
bin10101111010100111001100
3101210212210111
4111322213030
52432320400
6323045404
766555364
oct25724714
911725714
105745100
113274419
121b10864
131261c8a
14a979a4
157873ba
hex57a9cc

5745100 has 36 divisors (see below), whose sum is σ = 12653704. Its totient is φ = 2263680.

The previous prime is 5745079. The next prime is 5745109. The reversal of 5745100 is 15475.

It is not an unprimeable number, because it can be changed into a prime (5745109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6907 + ... + 7693.

Almost surely, 25745100 is an apocalyptic number.

5745100 is a gapful number since it is divisible by the number (50) 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 5745100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326852).

5745100 is an abundant number, since it is smaller than the sum of its proper divisors (6908604).

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

5745100 is a wasteful number, since it uses less digits than its factorization.

5745100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 5745100 is about 2396.8938232638. The cubic root of 5745100 is about 179.1014894229.

The spelling of 5745100 in words is "five million, seven hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 787 1460 1574 1825 3148 3650 3935 7300 7870 15740 19675 39350 57451 78700 114902 229804 287255 574510 1149020 1436275 2872550 5745100