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2625040 = 2451119157
BaseRepresentation
bin1010000000111000010000
311221100212201
422000320100
51133000130
6132132544
731212115
oct12007020
94840781
102625040
111533260
12a67154
1370baa2
144c490c
1536cbca
hex280e10

2625040 has 80 divisors (see below), whose sum is σ = 7053120. Its totient is φ = 898560.

The previous prime is 2625023. The next prime is 2625061. The reversal of 2625040 is 405262.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 2624999 and 2625017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16642 + ... + 16798.

It is an arithmetic number, because the mean of its divisors is an integer number (88164).

22625040 is an apocalyptic number.

2625040 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 2625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526560).

2625040 is an abundant number, since it is smaller than the sum of its proper divisors (4428080).

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

2625040 is a wasteful number, since it uses less digits than its factorization.

2625040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2625040 is about 1620.1975188229. The cubic root of 2625040 is about 137.9469094947.

The spelling of 2625040 in words is "two million, six hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 157 176 190 209 220 304 314 380 418 440 628 760 785 836 880 1045 1256 1520 1570 1672 1727 2090 2512 2983 3140 3344 3454 4180 5966 6280 6908 8360 8635 11932 12560 13816 14915 16720 17270 23864 27632 29830 32813 34540 47728 59660 65626 69080 119320 131252 138160 164065 238640 262504 328130 525008 656260 1312520 2625040