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2254960 = 24571397
BaseRepresentation
bin1000100110100001110000
311020120020001
420212201300
51034124320
6120155344
725111141
oct10464160
94216201
102254960
111300204
12908b54
1360c4c6
14429ac8
152e820a
hex226870

2254960 has 40 divisors (see below), whose sum is σ = 5330016. Its totient is φ = 887040.

The previous prime is 2254951. The next prime is 2254961. The reversal of 2254960 is 694522.

2254960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5482 + ... + 5878.

22254960 is an apocalyptic number.

2254960 is a gapful number since it is divisible by the number (20) 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 2254960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665008).

2254960 is an abundant number, since it is smaller than the sum of its proper divisors (3075056).

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

2254960 is a wasteful number, since it uses less digits than its factorization.

2254960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2254960 is about 1501.6524231659. The cubic root of 2254960 is about 131.1332870232.

The spelling of 2254960 in words is "two million, two hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 397 568 710 794 1136 1420 1588 1985 2840 3176 3970 5680 6352 7940 15880 28187 31760 56374 112748 140935 225496 281870 450992 563740 1127480 2254960