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4485120 = 2123573
BaseRepresentation
bin10001000111000000000000
322102212102120
4101013000000
52122010440
6240044240
753060103
oct21070000
98385376
104485120
112593812
121603680
13c10623
1484a73a
155d8dd0
hex447000

4485120 has 104 divisors (see below), whose sum is σ = 14547216. Its totient is φ = 1179648.

The previous prime is 4485109. The next prime is 4485139. The reversal of 4485120 is 215844.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61404 + ... + 61476.

Almost surely, 24485120 is an apocalyptic number.

4485120 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 4485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273608).

4485120 is an abundant number, since it is smaller than the sum of its proper divisors (10062096).

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

4485120 is an equidigital number, since it uses as much as digits as its factorization.

4485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 4485120 is about 2117.8101897951. The cubic root of 4485120 is about 164.9141886214.

The spelling of 4485120 in words is "four million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 256 292 320 365 384 438 480 512 584 640 730 768 876 960 1024 1095 1168 1280 1460 1536 1752 1920 2048 2190 2336 2560 2920 3072 3504 3840 4096 4380 4672 5120 5840 6144 7008 7680 8760 9344 10240 11680 12288 14016 15360 17520 18688 20480 23360 28032 30720 35040 37376 46720 56064 61440 70080 74752 93440 112128 140160 149504 186880 224256 280320 299008 373760 448512 560640 747520 897024 1121280 1495040 2242560 4485120