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36130056 = 23323293761
BaseRepresentation
bin1000100111010…
…0110100001000
32111222121010020
42021310310020
533222130211
63330220440
7616046304
oct211646410
974877106
1036130056
1119438056
1210124720
137640241
144b26d04
15328a306
hex2274d08

36130056 has 128 divisors (see below), whose sum is σ = 101779200. Its totient is φ = 10644480.

The previous prime is 36130013. The next prime is 36130057. The reversal of 36130056 is 65003163.

It is a super-3 number, since 3×361300563 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (36130057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592266 + ... + 592326.

It is an arithmetic number, because the mean of its divisors is an integer number (795150).

Almost surely, 236130056 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 36130056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

36130056 is an abundant number, since it is smaller than the sum of its proper divisors (65649144).

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

36130056 is a wasteful number, since it uses less digits than its factorization.

36130056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 36130056 is about 6010.8282291212. The cubic root of 36130056 is about 330.5898724357.

The spelling of 36130056 in words is "thirty-six million, one hundred thirty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 29 37 46 58 61 69 74 87 92 111 116 122 138 148 174 183 184 222 232 244 276 296 348 366 444 488 552 667 696 732 851 888 1073 1334 1403 1464 1702 1769 2001 2146 2257 2553 2668 2806 3219 3404 3538 4002 4209 4292 4514 5106 5307 5336 5612 6438 6771 6808 7076 8004 8418 8584 9028 10212 10614 11224 12876 13542 14152 16008 16836 18056 20424 21228 24679 25752 27084 33672 40687 42456 49358 51911 54168 65453 74037 81374 98716 103822 122061 130906 148074 155733 162748 196359 197432 207644 244122 261812 296148 311466 325496 392718 415288 488244 523624 592296 622932 785436 976488 1245864 1505419 1570872 3010838 4516257 6021676 9032514 12043352 18065028 36130056