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2125360 = 24531857
BaseRepresentation
bin1000000110111000110000
310222222110001
420012320300
51021002420
6113315344
724031246
oct10067060
93888401
102125360
1112218a6
12865b54
13595513
143d4796
152beb0a
hex206e30

2125360 has 40 divisors (see below), whose sum is σ = 5106816. Its totient is φ = 821760.

The previous prime is 2125339. The next prime is 2125373. The reversal of 2125360 is 635212.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2052 + ... + 2908.

22125360 is an apocalyptic number.

2125360 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 2125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553408).

2125360 is an abundant number, since it is smaller than the sum of its proper divisors (2981456).

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

2125360 is a wasteful number, since it uses less digits than its factorization.

2125360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2125360 is about 1457.8614474634. The cubic root of 2125360 is about 128.5713392122.

It can be divided in two parts, 2125 and 360, that added together give a triangular number (2485 = T70).

The spelling of 2125360 in words is "two million, one hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 857 1240 1714 2480 3428 4285 6856 8570 13712 17140 26567 34280 53134 68560 106268 132835 212536 265670 425072 531340 1062680 2125360