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113246208 = 22233
BaseRepresentation
bin1101100000000…
…00000000000000
321220002111121000
412300000000000
5212442334313
615123132000
72543401605
oct660000000
9256074530
10113246208
1158a19609
1231b14000
131a600aba
141107c6ac
159e1e673
hex6c00000

113246208 has 92 divisors (see below), whose sum is σ = 335544280. Its totient is φ = 37748736.

The previous prime is 113246183. The next prime is 113246209. The reversal of 113246208 is 802642311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)3 ⋅ (2!)13.

113246208 is a `hidden beast` number, since 1 + 1 + 32 + 4 + 620 + 8 = 666.

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (113246209) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37748735 + 37748736 + 37748737.

Almost surely, 2113246208 is an apocalyptic number.

113246208 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 113246208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167772140).

113246208 is an abundant number, since it is smaller than the sum of its proper divisors (222298072).

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

113246208 is an frugal number, since it uses more digits than its factorization.

113246208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 5 counting only the distinct ones).

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

The square root of 113246208 is about 10641.7201617032. The cubic root of 113246208 is about 483.8096831596.

Multiplying 113246208 by its sum of digits (27), we get a square (3057647616 = 552962).

113246208 divided by its sum of digits (27) gives a 22-nd power (4194304 = 222).

Multiplying 113246208 by its product of nonzero digits (2304), we get a 5-th power (260919263232 = 1925).

Adding to 113246208 its reverse (802642311), we get a palindrome (915888519).

The spelling of 113246208 in words is "one hundred thirteen million, two hundred forty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 24576 27648 32768 36864 49152 55296 65536 73728 98304 110592 131072 147456 196608 221184 262144 294912 393216 442368 524288 589824 786432 884736 1048576 1179648 1572864 1769472 2097152 2359296 3145728 3538944 4194304 4718592 6291456 7077888 9437184 12582912 14155776 18874368 28311552 37748736 56623104 113246208