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113242176 = 263247289
BaseRepresentation
bin1101011111111…
…11000001000000
321220002022001200
412233333001000
5212442222201
615123101200
72543354055
oct657770100
9256068050
10113242176
1158a16583
1231b11800
131a5cc008
141107b02c
159e1d386
hex6bff040

113242176 has 126 divisors (see below), whose sum is σ = 335367630. Its totient is φ = 36529152.

The previous prime is 113242153. The next prime is 113242183. The reversal of 113242176 is 671242311.

It can be written as a sum of positive squares in only one way, i.e., 81432576 + 31809600 = 9024^2 + 5640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1272340 + ... + 1272428.

Almost surely, 2113242176 is an apocalyptic number.

113242176 is a gapful number since it is divisible by the number (16) 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 113242176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167683815).

113242176 is an abundant number, since it is smaller than the sum of its proper divisors (222125454).

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

113242176 is an equidigital number, since it uses as much as digits as its factorization.

113242176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 141 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 113242176 is about 10641.5307169598. The cubic root of 113242176 is about 483.8039412638.

Adding to 113242176 its reverse (671242311), we get a palindrome (784484487).

The spelling of 113242176 in words is "one hundred thirteen million, two hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 89 94 96 141 144 178 188 192 267 282 288 356 376 423 534 564 576 712 752 801 846 1068 1128 1424 1504 1602 1692 2136 2209 2256 2848 3008 3204 3384 4183 4272 4418 4512 5696 6408 6627 6768 8366 8544 8836 9024 12549 12816 13254 13536 16732 17088 17672 19881 25098 25632 26508 27072 33464 35344 37647 39762 50196 51264 53016 66928 70688 75294 79524 100392 106032 133856 141376 150588 159048 196601 200784 212064 267712 301176 318096 393202 401568 424128 589803 602352 636192 786404 803136 1179606 1204704 1272384 1572808 1769409 2359212 2409408 3145616 3538818 4718424 6291232 7077636 9436848 12582464 14155272 18873696 28310544 37747392 56621088 113242176