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40070040 = 23352271471
BaseRepresentation
bin1001100011011…
…0101110011000
32210101202202120
42120312232120
540224220130
63550501240
7664406163
oct230665630
983352676
1040070040
112068923a
1211504820
1383bc6aa
145470ada
1537b7910
hex2636b98

40070040 has 64 divisors (see below), whose sum is σ = 120821760. Its totient is φ = 10631040.

The previous prime is 40069999. The next prime is 40070047. The reversal of 40070040 is 4007004.

40070040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40070047) by changing a digit.

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, 26505 + ... + 27975.

It is an arithmetic number, because the mean of its divisors is an integer number (1887840).

Almost surely, 240070040 is an apocalyptic number.

40070040 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 40070040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60410880).

40070040 is an abundant number, since it is smaller than the sum of its proper divisors (80751720).

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

40070040 is a wasteful number, since it uses less digits than its factorization.

40070040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 40070040 is about 6330.0900467529. The cubic root of 40070040 is about 342.1946841343.

Adding to 40070040 its reverse (4007004), we get a palindrome (44077044).

The spelling of 40070040 in words is "forty million, seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 908 1135 1362 1471 1816 2270 2724 2942 3405 4413 4540 5448 5884 6810 7355 8826 9080 11768 13620 14710 17652 22065 27240 29420 35304 44130 58840 88260 176520 333917 667834 1001751 1335668 1669585 2003502 2671336 3339170 4007004 5008755 6678340 8014008 10017510 13356680 20035020 40070040