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123113472 = 212343233
BaseRepresentation
bin1110101011010…
…01000000000000
322120122210221020
413111221000000
5223004112342
620114425440
73023306256
oct725510000
9276583836
10123113472
1163548a79
1235292280
131c677111
14124ca5d6
15ac1d0ec
hex7569000

123113472 has 104 divisors (see below), whose sum is σ = 337338144. Its totient is φ = 39911424.

The previous prime is 123113461. The next prime is 123113489. The reversal of 123113472 is 274311321.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528268 + ... + 528500.

It is an arithmetic number, because the mean of its divisors is an integer number (3243636).

Almost surely, 2123113472 is an apocalyptic number.

123113472 is a gapful number since it is divisible by the number (12) 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 123113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168669072).

123113472 is an abundant number, since it is smaller than the sum of its proper divisors (214224672).

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

123113472 is an equidigital number, since it uses as much as digits as its factorization.

123113472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 281 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 123113472 is about 11095.6510399345. The cubic root of 123113472 is about 497.4718679748.

Adding to 123113472 its reverse (274311321), we get a palindrome (397424793).

The spelling of 123113472 in words is "one hundred twenty-three million, one hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 233 256 258 344 384 466 512 516 688 699 768 932 1024 1032 1376 1398 1536 1864 2048 2064 2752 2796 3072 3728 4096 4128 5504 5592 6144 7456 8256 10019 11008 11184 12288 14912 16512 20038 22016 22368 29824 30057 33024 40076 44032 44736 59648 60114 66048 80152 88064 89472 119296 120228 132096 160304 176128 178944 238592 240456 264192 320608 357888 477184 480912 528384 641216 715776 954368 961824 1282432 1431552 1923648 2564864 2863104 3847296 5129728 7694592 10259456 15389184 20518912 30778368 41037824 61556736 123113472