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2015040 = 26352099
BaseRepresentation
bin111101011111101000000
310210101010010
413223331000
51003440130
6111104520
723061516
oct7537500
93711103
102015040
111156a25
12812140
13557241
143a64b6
1529c0b0
hex1ebf40

2015040 has 56 divisors (see below), whose sum is σ = 6400800. Its totient is φ = 537088.

The previous prime is 2015033. The next prime is 2015047. The reversal of 2015040 is 405102.

It is an interprime number because it is at equal distance from previous prime (2015033) and next prime (2015047).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2015047) 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, 90 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (114300).

22015040 is an apocalyptic number.

2015040 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 2015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200400).

2015040 is an abundant number, since it is smaller than the sum of its proper divisors (4385760).

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

2015040 is a wasteful number, since it uses less digits than its factorization.

2015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2015040 is about 1419.5210459870. The cubic root of 2015040 is about 126.3071368342.

Subtracting from 2015040 its sum of digits (12), we obtain a triangular number (2015028 = T2007).

The spelling of 2015040 in words is "two million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2099 4198 6297 8396 10495 12594 16792 20990 25188 31485 33584 41980 50376 62970 67168 83960 100752 125940 134336 167920 201504 251880 335840 403008 503760 671680 1007520 2015040