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36130542 = 2372177229
BaseRepresentation
bin1000100111010…
…0111011101110
32111222121210020
42021310323232
533222134132
63330223010
7616050600
oct211647356
974877706
1036130542
1119438458
1210124a66
137640526
144b27170
15328a52c
hex2274eee

36130542 has 48 divisors (see below), whose sum is σ = 89015760. Its totient is φ = 9714432.

The previous prime is 36130541. The next prime is 36130543. The reversal of 36130542 is 24503163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36130541) and next prime (36130543).

It is a super-4 number, since 4×361305424 (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36130541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384 + ... + 8612.

It is an arithmetic number, because the mean of its divisors is an integer number (1854495).

Almost surely, 236130542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36130542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44507880).

36130542 is an abundant number, since it is smaller than the sum of its proper divisors (52885218).

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

36130542 is a wasteful number, since it uses less digits than its factorization.

36130542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36130542 is about 6010.8686560263. The cubic root of 36130542 is about 330.5913547285.

It can be divided in two parts, 361 and 30542, that added together give a palindrome (30903).

The spelling of 36130542 in words is "thirty-six million, one hundred thirty thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 4998 7229 14458 21687 43374 50603 101206 122893 151809 245786 303618 354221 368679 708442 737358 860251 1062663 1720502 2125326 2580753 5161506 6021757 12043514 18065271 36130542