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113206248 = 2334414261
BaseRepresentation
bin1101011111101…
…10001111101000
321220000110210000
412233312033220
5212440044443
615122223000
72543144241
oct657661750
9256013700
10113206248
11589a1591
1231ab4a60
131a5b885c
141106bcc8
159e128d3
hex6bf63e8

113206248 has 80 divisors (see below), whose sum is σ = 324892260. Its totient is φ = 36806400.

The previous prime is 113206243. The next prime is 113206267. The reversal of 113206248 is 842602311.

113206248 is a `hidden beast` number, since 1 + 1 + 32 + 0 + 624 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113167044 + 39204 = 10638^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113206241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24438 + ... + 28698.

Almost surely, 2113206248 is an apocalyptic number.

113206248 is a gapful number since it is divisible by the number (18) 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 113206248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162446130).

113206248 is an abundant number, since it is smaller than the sum of its proper divisors (211686012).

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

113206248 is a wasteful number, since it uses less digits than its factorization.

113206248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 113206248 is about 10639.8424800370. The cubic root of 113206248 is about 483.7527708513.

Adding to 113206248 its reverse (842602311), we get a palindrome (955808559).

The spelling of 113206248 in words is "one hundred thirteen million, two hundred six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4261 4428 6642 8522 8856 12783 13284 17044 25566 26568 34088 38349 51132 76698 102264 115047 153396 174701 230094 306792 345141 349402 460188 524103 690282 698804 920376 1048206 1380564 1397608 1572309 2096412 2761128 3144618 4192824 4716927 6289236 9433854 12578472 14150781 18867708 28301562 37735416 56603124 113206248