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36660540 = 22357191457
BaseRepresentation
bin1000101111011…
…0010100111100
32112222112210210
42023312110330
533341114130
63345432420
7623416020
oct213662474
975875723
1036660540
111976a674
121033b710
137797837
144c24380
1533425b0
hex22f653c

36660540 has 96 divisors (see below), whose sum is σ = 118185984. Its totient is φ = 8317440.

The previous prime is 36660539. The next prime is 36660541. The reversal of 36660540 is 4506663.

It is an interprime number because it is at equal distance from previous prime (36660539) and next prime (36660541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36660498 and 36660507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36660541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79992 + ... + 80448.

It is an arithmetic number, because the mean of its divisors is an integer number (1231104).

Almost surely, 236660540 is an apocalyptic number.

36660540 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 36660540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59092992).

36660540 is an abundant number, since it is smaller than the sum of its proper divisors (81525444).

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

36660540 is a wasteful number, since it uses less digits than its factorization.

36660540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 36660540 is about 6054.7947942106. The cubic root of 36660540 is about 332.1999932099.

It can be divided in two parts, 366 and 60540, that added together give a palindrome (60906).

The spelling of 36660540 in words is "thirty-six million, six hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 191 210 382 420 457 573 764 914 955 1146 1337 1371 1828 1910 2285 2292 2674 2742 2865 3199 3820 4011 4570 5348 5484 5730 6398 6685 6855 8022 9140 9597 11460 12796 13370 13710 15995 16044 19194 20055 26740 27420 31990 38388 40110 47985 63980 80220 87287 95970 174574 191940 261861 349148 436435 523722 611009 872870 1047444 1222018 1309305 1745740 1833027 2444036 2618610 3055045 3666054 5237220 6110090 7332108 9165135 12220180 18330270 36660540