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4745040 = 2435171163
BaseRepresentation
bin10010000110011101010000
322221001222020
4102012131100
52203320130
6245411440
755221636
oct22063520
98831866
104745040
112751023
121709b80
13ca1a21
148b7356
1563ae10
hex486750

4745040 has 80 divisors (see below), whose sum is σ = 15588288. Its totient is φ = 1189888.

The previous prime is 4745029. The next prime is 4745047. The reversal of 4745040 is 405474.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4745040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4745047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3499 + ... + 4661.

Almost surely, 24745040 is an apocalyptic number.

4745040 is a gapful number since it is divisible by the number (40) 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 4745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794144).

4745040 is an abundant number, since it is smaller than the sum of its proper divisors (10843248).

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

4745040 is a wasteful number, since it uses less digits than its factorization.

4745040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4745040 is about 2178.3112725228. The cubic root of 4745040 is about 168.0402397940.

The spelling of 4745040 in words is "four million, seven hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1163 1360 2040 2326 3489 4080 4652 5815 6978 9304 11630 13956 17445 18608 19771 23260 27912 34890 39542 46520 55824 59313 69780 79084 93040 98855 118626 139560 158168 197710 237252 279120 296565 316336 395420 474504 593130 790840 949008 1186260 1581680 2372520 4745040