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40252560 = 2435367457
BaseRepresentation
bin1001100110001…
…1010010010000
32210202001010120
42121203102100
540301040220
63554430240
7666066255
oct231432220
983661116
1040252560
11207a3387
1211592380
1384547aa
1454bb42c
153801a40
hex2663490

40252560 has 80 divisors (see below), whose sum is σ = 125396736. Its totient is φ = 10681344.

The previous prime is 40252547. The next prime is 40252561. The reversal of 40252560 is 6525204.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40252560.

It is not an unprimeable number, because it can be changed into a prime (40252561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87852 + ... + 88308.

Almost surely, 240252560 is an apocalyptic number.

40252560 is a gapful number since it is divisible by the number (40) 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 40252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62698368).

40252560 is an abundant number, since it is smaller than the sum of its proper divisors (85144176).

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

40252560 is a wasteful number, since it uses less digits than its factorization.

40252560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 40252560 is about 6344.4905232808. The cubic root of 40252560 is about 342.7134655929.

Adding to 40252560 its reverse (6525204), we get a palindrome (46777764).

The spelling of 40252560 in words is "forty million, two hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 367 457 734 914 1101 1371 1468 1828 1835 2202 2285 2742 2936 3656 3670 4404 4570 5484 5505 5872 6855 7312 7340 8808 9140 10968 11010 13710 14680 17616 18280 21936 22020 27420 29360 36560 44040 54840 88080 109680 167719 335438 503157 670876 838595 1006314 1341752 1677190 2012628 2515785 2683504 3354380 4025256 5031570 6708760 8050512 10063140 13417520 20126280 40252560