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40542560 = 255232479
BaseRepresentation
bin1001101010101…
…0000101100000
32211021202221022
42122222011200
540334330220
64004545012
71001414612
oct232520540
984252838
1040542560
1120981253
12116b2168
1385267a6
145554db2
15385c925
hex26aa160

40542560 has 72 divisors (see below), whose sum is σ = 100336320. Its totient is φ = 15479552.

The previous prime is 40542559. The next prime is 40542587. The reversal of 40542560 is 6524504.

40542560 = T96 + T97 + ... + T624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84401 + ... + 84879.

It is an arithmetic number, because the mean of its divisors is an integer number (1393560).

Almost surely, 240542560 is an apocalyptic number.

40542560 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 40542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168160).

40542560 is an abundant number, since it is smaller than the sum of its proper divisors (59793760).

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

40542560 is a wasteful number, since it uses less digits than its factorization.

40542560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 40542560 is about 6367.3039820634. The cubic root of 40542560 is about 343.5345245744.

The spelling of 40542560 in words is "forty million, five hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 479 529 736 920 958 1058 1840 1916 2116 2395 2645 3680 3832 4232 4790 5290 7664 8464 9580 10580 11017 15328 16928 19160 21160 22034 38320 42320 44068 55085 76640 84640 88136 110170 176272 220340 253391 352544 440680 506782 881360 1013564 1266955 1762720 2027128 2533910 4054256 5067820 8108512 10135640 20271280 40542560