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4540920 = 233579479
BaseRepresentation
bin10001010100100111111000
322112200222020
4101110213320
52130302140
6241154440
753411556
oct21244770
98480866
104540920
11262172a
12162ba20
13c2cb47
14862bd6
155ea6d0
hex4549f8

4540920 has 64 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 1193088.

The previous prime is 4540919. The next prime is 4540927. The reversal of 4540920 is 290454.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4540927) 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 15 ways as a sum of consecutive naturals, for example, 9241 + ... + 9719.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

Almost surely, 24540920 is an apocalyptic number.

4540920 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 4540920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912000).

4540920 is an abundant number, since it is smaller than the sum of its proper divisors (9283080).

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

4540920 is a wasteful number, since it uses less digits than its factorization.

4540920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4540920 is about 2130.9434530273. The cubic root of 4540920 is about 165.5952786350.

It can be divided in two parts, 4540 and 920, that added together give a triangular number (5460 = T104).

The spelling of 4540920 in words is "four million, five hundred forty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 479 632 790 948 958 1185 1437 1580 1896 1916 2370 2395 2874 3160 3832 4740 4790 5748 7185 9480 9580 11496 14370 19160 28740 37841 57480 75682 113523 151364 189205 227046 302728 378410 454092 567615 756820 908184 1135230 1513640 2270460 4540920