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113545728 = 293241601
BaseRepresentation
bin1101100010010…
…01001000000000
321220122201110100
412301021020000
5213031430403
615133402400
72546060052
oct661111000
9256581410
10113545728
115910364a
1232039400
131a6a722a
14111198d2
159e7d2a3
hex6c49200

113545728 has 120 divisors (see below), whose sum is σ = 336251916. Its totient is φ = 36864000.

The previous prime is 113545723. The next prime is 113545739. The reversal of 113545728 is 827545311.

It can be written as a sum of positive squares in 2 ways, for example, as 112529664 + 1016064 = 10608^2 + 1008^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 113545692 and 113545701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113545721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188628 + ... + 189228.

Almost surely, 2113545728 is an apocalyptic number.

113545728 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 113545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168125958).

113545728 is an abundant number, since it is smaller than the sum of its proper divisors (222706188).

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

113545728 is an equidigital number, since it uses as much as digits as its factorization.

113545728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 647 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 113545728 is about 10655.7837815902. The cubic root of 113545728 is about 484.2358434413.

The spelling of 113545728 in words is "one hundred thirteen million, five hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 601 656 738 768 984 1152 1202 1312 1476 1536 1803 1968 2304 2404 2624 2952 3606 3936 4608 4808 5248 5409 5904 7212 7872 9616 10496 10818 11808 14424 15744 19232 20992 21636 23616 24641 28848 31488 38464 43272 47232 49282 57696 62976 73923 76928 86544 94464 98564 115392 147846 153856 173088 188928 197128 221769 230784 295692 307712 346176 394256 443538 461568 591384 692352 788512 887076 923136 1182768 1384704 1577024 1774152 2365536 2769408 3154048 3548304 4731072 6308096 7096608 9462144 12616192 14193216 18924288 28386432 37848576 56772864 113545728