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36414540 = 223251012003
BaseRepresentation
bin1000101011101…
…0010001001100
32112112001100200
42022322101030
533310231130
63340253500
7621342561
oct212722114
975461320
1036414540
1119611868
1210241290
13770c886
144b9c868
1532e4760
hex22ba44c

36414540 has 72 divisors (see below), whose sum is σ = 111606768. Its totient is φ = 9609600.

The previous prime is 36414533. The next prime is 36414577. The reversal of 36414540 is 4541463.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17179 + ... + 19181.

It is an arithmetic number, because the mean of its divisors is an integer number (1550094).

Almost surely, 236414540 is an apocalyptic number.

36414540 is a gapful number since it is divisible by the number (30) 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 36414540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55803384).

36414540 is an abundant number, since it is smaller than the sum of its proper divisors (75192228).

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

36414540 is a wasteful number, since it uses less digits than its factorization.

36414540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 36414540 is about 6034.4461220563. The cubic root of 36414540 is about 331.4552808510.

The spelling of 36414540 in words is "thirty-six million, four hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2003 2020 3030 3636 4006 4545 6009 6060 8012 9090 10015 12018 18027 18180 20030 24036 30045 36054 40060 60090 72108 90135 120180 180270 202303 360540 404606 606909 809212 1011515 1213818 1820727 2023030 2427636 3034545 3641454 4046060 6069090 7282908 9103635 12138180 18207270 36414540