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36815130 = 23251141907
BaseRepresentation
bin1000110001110…
…0000100011010
32120021101212100
42030130010122
533411041010
63353024230
7624631512
oct214340432
976241770
1036815130
1119865830
12103b5076
137820001
144c64842
1533732c0
hex231c11a

36815130 has 96 divisors (see below), whose sum is σ = 107085888. Its totient is φ = 8697600.

The previous prime is 36815113. The next prime is 36815131. The reversal of 36815130 is 3151863.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36815094 and 36815103.

It is not an unprimeable number, because it can be changed into a prime (36815131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40137 + ... + 41043.

It is an arithmetic number, because the mean of its divisors is an integer number (1115478).

Almost surely, 236815130 is an apocalyptic number.

36815130 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 36815130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53542944).

36815130 is an abundant number, since it is smaller than the sum of its proper divisors (70270758).

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

36815130 is a wasteful number, since it uses less digits than its factorization.

36815130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 36815130 is about 6067.5472804091. The cubic root of 36815130 is about 332.6662782251. Note that the first 3 decimals are identical.

Adding to 36815130 its reverse (3151863), we get a palindrome (39966993).

The spelling of 36815130 in words is "thirty-six million, eight hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 907 990 1230 1353 1814 1845 2255 2706 2721 3690 4059 4510 4535 5442 6765 8118 8163 9070 9977 13530 13605 16326 19954 20295 27210 29931 37187 40590 40815 49885 59862 74374 81630 89793 99770 111561 149655 179586 185935 223122 299310 334683 371870 409057 448965 557805 669366 818114 897930 1115610 1227171 1673415 2045285 2454342 3346830 3681513 4090570 6135855 7363026 12271710 18407565 36815130