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4880120 = 235729601
BaseRepresentation
bin10010100111011011111000
3100011221021012
4102213123320
52222130440
6252333052
756323520
oct22473370
910157235
104880120
112833563
121774188
13101b35b
14910680
15665e65
hex4a76f8

4880120 has 64 divisors (see below), whose sum is σ = 13003200. Its totient is φ = 1612800.

The previous prime is 4880119. The next prime is 4880129. The reversal of 4880120 is 210884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4880129) 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 15 ways as a sum of consecutive naturals, for example, 7820 + ... + 8420.

It is an arithmetic number, because the mean of its divisors is an integer number (203175).

Almost surely, 24880120 is an apocalyptic number.

4880120 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 4880120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501600).

4880120 is an abundant number, since it is smaller than the sum of its proper divisors (8123080).

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

4880120 is a wasteful number, since it uses less digits than its factorization.

4880120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 4880120 is about 2209.0993639943. The cubic root of 4880120 is about 169.6199120741.

The spelling of 4880120 in words is "four million, eight hundred eighty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 601 812 1015 1160 1202 1624 2030 2404 3005 4060 4207 4808 6010 8120 8414 12020 16828 17429 21035 24040 33656 34858 42070 69716 84140 87145 122003 139432 168280 174290 244006 348580 488012 610015 697160 976024 1220030 2440060 4880120