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36681390 = 23351031319
BaseRepresentation
bin1000101111101…
…1011010101110
32120000121102000
42023323122232
533342301030
63350113130
7623533554
oct213733256
976017360
1036681390
11197842a9
121034b7a6
1377a4185
144c2bbd4
153348860
hex22fb6ae

36681390 has 64 divisors (see below), whose sum is σ = 98841600. Its totient is φ = 9679392.

The previous prime is 36681377. The next prime is 36681431. The reversal of 36681390 is 9318663.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27151 + ... + 28469.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 236681390 is an apocalyptic number.

36681390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36681390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49420800).

36681390 is an abundant number, since it is smaller than the sum of its proper divisors (62160210).

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

36681390 is a wasteful number, since it uses less digits than its factorization.

36681390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 36681390 is about 6056.5163254135. The cubic root of 36681390 is about 332.2629587963.

The spelling of 36681390 in words is "thirty-six million, six hundred eighty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 515 618 927 1030 1319 1545 1854 2638 2781 3090 3957 4635 5562 6595 7914 9270 11871 13190 13905 19785 23742 27810 35613 39570 59355 71226 118710 135857 178065 271714 356130 407571 679285 815142 1222713 1358570 2037855 2445426 3668139 4075710 6113565 7336278 12227130 18340695 36681390