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40806240 = 2535151563
BaseRepresentation
bin1001101110101…
…0011101100000
32211210011122020
42123222131200
540421244430
64014341440
71003563426
oct233523540
984704566
1040806240
1121041372
12117ba880
1385b9807
1455c3116
1538b0b10
hex26ea760

40806240 has 96 divisors (see below), whose sum is σ = 129620736. Its totient is φ = 10790400.

The previous prime is 40806223. The next prime is 40806253. The reversal of 40806240 is 4260804.

40806240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 40806240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72199 + ... + 72761.

It is an arithmetic number, because the mean of its divisors is an integer number (1350216).

Almost surely, 240806240 is an apocalyptic number.

40806240 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 40806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64810368).

40806240 is an abundant number, since it is smaller than the sum of its proper divisors (88814496).

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

40806240 is a wasteful number, since it uses less digits than its factorization.

40806240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40806240 is about 6387.9762053408. The cubic root of 40806240 is about 344.2776737667.

The spelling of 40806240 in words is "forty million, eight hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 151 160 240 302 453 480 563 604 755 906 1126 1208 1510 1689 1812 2252 2265 2416 2815 3020 3378 3624 4504 4530 4832 5630 6040 6756 7248 8445 9008 9060 11260 12080 13512 14496 16890 18016 18120 22520 24160 27024 33780 36240 45040 54048 67560 72480 85013 90080 135120 170026 255039 270240 340052 425065 510078 680104 850130 1020156 1275195 1360208 1700260 2040312 2550390 2720416 3400520 4080624 5100780 6801040 8161248 10201560 13602080 20403120 40806240