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36360940 = 22572113373
BaseRepresentation
bin1000101010110…
…1001011101100
32112102022211111
42022231023230
533302022230
63335201404
7621030400
oct212551354
975368744
1036360940
1119585570
1210216264
1376c1365
144b87100
1532d392a
hex22ad2ec

36360940 has 72 divisors (see below), whose sum is σ = 96928272. Its totient is φ = 11329920.

The previous prime is 36360937. The next prime is 36360971. The reversal of 36360940 is 4906363.

36360940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9094 + ... + 12466.

It is an arithmetic number, because the mean of its divisors is an integer number (1346226).

Almost surely, 236360940 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 36360940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48464136).

36360940 is an abundant number, since it is smaller than the sum of its proper divisors (60567332).

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

36360940 is a wasteful number, since it uses less digits than its factorization.

36360940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 36360940 is about 6030.0033167487. The cubic root of 36360940 is about 331.2925736190.

The spelling of 36360940 in words is "thirty-six million, three hundred sixty thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 3373 5390 6746 10780 13492 16865 23611 33730 37103 47222 67460 74206 94444 118055 148412 165277 185515 236110 259721 330554 371030 472220 519442 661108 742060 826385 1038884 1298605 1652770 1818047 2597210 3305540 3636094 5194420 7272188 9090235 18180470 36360940