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40620240 = 2432556417
BaseRepresentation
bin1001101011110…
…1000011010000
32211102201111100
42122331003100
540344321430
64010344400
71002160233
oct232750320
984381440
1040620240
1120a24651
121172b100
138552c5b
14557541a
153875960
hex26bd0d0

40620240 has 60 divisors (see below), whose sum is σ = 136418724. Its totient is φ = 10831872.

The previous prime is 40620197. The next prime is 40620247. The reversal of 40620240 is 4202604.

40620240 is a `hidden beast` number, since 4 + 0 + 620 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19607184 + 21013056 = 4428^2 + 4584^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40620247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27489 + ... + 28928.

Almost surely, 240620240 is an apocalyptic number.

40620240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40620240 is an abundant number, since it is smaller than the sum of its proper divisors (95798484).

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

40620240 is a wasteful number, since it uses less digits than its factorization.

40620240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56436 (or 56427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40620240 is about 6373.4009759311. The cubic root of 40620240 is about 343.7537899307.

Adding to 40620240 its reverse (4202604), we get a palindrome (44822844).

The spelling of 40620240 in words is "forty million, six hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 56417 112834 169251 225668 282085 338502 451336 507753 564170 677004 846255 902672 1015506 1128340 1354008 1692510 2031012 2256680 2538765 2708016 3385020 4062024 4513360 5077530 6770040 8124048 10155060 13540080 20310120 40620240