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36380036 = 22711294073
BaseRepresentation
bin1000101011000…
…1110110000100
32112110022000202
42022301312010
533303130121
63335430032
7621140150
oct212616604
975408022
1036380036
1119598950
1210225318
1376c9c64
144b90060
1532d940b
hex22b1d84

36380036 has 48 divisors (see below), whose sum is σ = 82131840. Its totient is φ = 13681920.

The previous prime is 36380033. The next prime is 36380063. The reversal of 36380036 is 63008363.

36380036 = T440 + T441 + ... + T671.

It is a super-2 number, since 2×363800362 = 2647014038722592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 36379990 and 36380008.

It is not an unprimeable number, because it can be changed into a prime (36380033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6896 + ... + 10968.

It is an arithmetic number, because the mean of its divisors is an integer number (1711080).

Almost surely, 236380036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36380036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41065920).

36380036 is an abundant number, since it is smaller than the sum of its proper divisors (45751804).

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

36380036 is a wasteful number, since it uses less digits than its factorization.

36380036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 36380036 is about 6031.5865242903. The cubic root of 36380036 is about 331.3505594304.

Adding to 36380036 its reverse (63008363), we get a palindrome (99388399).

The spelling of 36380036 in words is "thirty-six million, three hundred eighty thousand, thirty-six".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 2233 4073 4466 8146 8932 16292 28511 44803 57022 89606 114044 118117 179212 236234 313621 472468 627242 826819 1254484 1299287 1653638 2598574 3307276 5197148 9095009 18190018 36380036