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36130700 = 2252232683
BaseRepresentation
bin1000100111010…
…0111110001100
32111222122000002
42021310332030
533222140300
63330223432
7616051214
oct211647614
974878002
1036130700
1119438591
1210124b78
137640618
144b27244
15328a5d5
hex2274f8c

36130700 has 54 divisors (see below), whose sum is σ = 82080684. Its totient is φ = 13803680.

The previous prime is 36130673. The next prime is 36130711. The reversal of 36130700 is 703163.

36130700 = T1761 + T1762 + ... + T1783.

36130700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 52559 + ... + 53241.

Almost surely, 236130700 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 36130700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040342).

36130700 is an abundant number, since it is smaller than the sum of its proper divisors (45949984).

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

36130700 is a wasteful number, since it uses less digits than its factorization.

36130700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 36130700 is about 6010.8817988711. The cubic root of 36130700 is about 330.5918366232.

Adding to 36130700 its reverse (703163), we get a palindrome (36833863).

The spelling of 36130700 in words is "thirty-six million, one hundred thirty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 683 1058 1150 1366 2116 2300 2645 2732 3415 5290 6830 10580 13225 13660 15709 17075 26450 31418 34150 52900 62836 68300 78545 157090 314180 361307 392725 722614 785450 1445228 1570900 1806535 3613070 7226140 9032675 18065350 36130700