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36114540 = 22357117817
BaseRepresentation
bin1000100111000…
…1000001101100
32111221210211120
42021301001230
533221131130
63330020540
7615653130
oct211610154
974853746
1036114540
1119427430
1210117750
137636167
144b213c0
153285910
hex227106c

36114540 has 96 divisors (see below), whose sum is σ = 126088704. Its totient is φ = 7503360.

The previous prime is 36114527. The next prime is 36114587. The reversal of 36114540 is 4541163.

It is a self number, because there is not a number n which added to its sum of digits gives 36114540.

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, 712 + ... + 8528.

It is an arithmetic number, because the mean of its divisors is an integer number (1313424).

Almost surely, 236114540 is an apocalyptic number.

36114540 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 36114540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63044352).

36114540 is an abundant number, since it is smaller than the sum of its proper divisors (89974164).

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

36114540 is a wasteful number, since it uses less digits than its factorization.

36114540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7847 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 36114540 is about 6009.5374198020. The cubic root of 36114540 is about 330.5425418798.

The spelling of 36114540 in words is "thirty-six million, one hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 7817 15634 23451 31268 39085 46902 54719 78170 85987 93804 109438 117255 156340 164157 171974 218876 234510 257961 273595 328314 343948 429935 469020 515922 547190 601909 656628 820785 859870 1031844 1094380 1203818 1289805 1641570 1719740 1805727 2407636 2579610 3009545 3283140 3611454 5159220 6019090 7222908 9028635 12038180 18057270 36114540