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4315120 = 24553939
BaseRepresentation
bin10000011101011111110000
322010020020021
4100131133300
52101040440
6232253224
751451345
oct20353760
98106207
104315120
112488017
121541214
13b81134
148047cc
155a384a
hex41d7f0

4315120 has 20 divisors (see below), whose sum is σ = 10032840. Its totient is φ = 1726016.

The previous prime is 4315111. The next prime is 4315123. The reversal of 4315120 is 215134.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×43151202 = 37240521228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4315094 and 4315103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4315123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26890 + ... + 27049.

It is an arithmetic number, because the mean of its divisors is an integer number (501642).

Almost surely, 24315120 is an apocalyptic number.

4315120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4315120 is an abundant number, since it is smaller than the sum of its proper divisors (5717720).

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

4315120 is a wasteful number, since it uses less digits than its factorization.

4315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53952 (or 53946 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4315120 is about 2077.2866918170. The cubic root of 4315120 is about 162.8037081581.

The spelling of 4315120 in words is "four million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 53939 107878 215756 269695 431512 539390 863024 1078780 2157560 4315120