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40068120 = 23353110771
BaseRepresentation
bin1001100011011…
…0010000011000
32210101200010110
42120312100120
540224134440
63550444320
7664400451
oct230662030
983350113
1040068120
1120687854
12115036a0
1383bb861
145470128
1537b7080
hex2636418

40068120 has 64 divisors (see below), whose sum is σ = 124093440. Its totient is φ = 10339200.

The previous prime is 40068109. The next prime is 40068121. The reversal of 40068120 is 2186004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40068121) 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, 1666 + ... + 9105.

It is an arithmetic number, because the mean of its divisors is an integer number (1938960).

Almost surely, 240068120 is an apocalyptic number.

40068120 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 40068120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62046720).

40068120 is an abundant number, since it is smaller than the sum of its proper divisors (84025320).

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

40068120 is a wasteful number, since it uses less digits than its factorization.

40068120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10816 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 40068120 is about 6329.9383883258. The cubic root of 40068120 is about 342.1892185022.

The spelling of 40068120 in words is "forty million, sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 10771 21542 32313 43084 53855 64626 86168 107710 129252 161565 215420 258504 323130 333901 430840 646260 667802 1001703 1292520 1335604 1669505 2003406 2671208 3339010 4006812 5008515 6678020 8013624 10017030 13356040 20034060 40068120