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2745900 = 223552113
BaseRepresentation
bin1010011110011000101100
312011111200000
422132120230
51200332100
6134504300
732224353
oct12363054
95144600
102745900
111606043
12b05090
13751ac1
1451699a
15393900
hex29e62c

2745900 has 108 divisors (see below), whose sum is σ = 9004632. Its totient is φ = 725760.

The previous prime is 2745863. The next prime is 2745907. The reversal of 2745900 is 95472.

2745900 is a `hidden beast` number, since 2 + 74 + 590 + 0 = 666.

2745900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2745907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24244 + ... + 24356.

22745900 is an apocalyptic number.

2745900 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 2745900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502316).

2745900 is an abundant number, since it is smaller than the sum of its proper divisors (6258732).

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

2745900 is a wasteful number, since it uses less digits than its factorization.

2745900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2745900 is about 1657.0757375570. The cubic root of 2745900 is about 140.0323054700.

The spelling of 2745900 in words is "two million, seven hundred forty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 113 135 150 162 180 225 226 243 270 300 324 339 405 450 452 486 540 565 675 678 810 900 972 1017 1130 1215 1350 1356 1620 1695 2025 2034 2260 2430 2700 2825 3051 3390 4050 4068 4860 5085 5650 6075 6102 6780 8100 8475 9153 10170 11300 12150 12204 15255 16950 18306 20340 24300 25425 27459 30510 33900 36612 45765 50850 54918 61020 76275 91530 101700 109836 137295 152550 183060 228825 274590 305100 457650 549180 686475 915300 1372950 2745900