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10628355 = 352953461
BaseRepresentation
bin101000100010…
…110100000011
3201222222100210
4220202310003
510210101410
61015445203
7156224313
oct50426403
921888323
1010628355
115aaa271
123686803
13228188a
1415a9443
15dee220
hexa22d03

10628355 has 32 divisors (see below), whose sum is σ = 17962560. Its totient is φ = 5358080.

The previous prime is 10628333. The next prime is 10628377. The reversal of 10628355 is 55382601.

10628355 is a nontrivial binomial coefficient, being equal to C(4611, 2).

It is an interprime number because it is at equal distance from previous prime (10628333) and next prime (10628377).

It is not a de Polignac number, because 10628355 - 27 = 10628227 is a prime.

It is a super-2 number, since 2×106283552 = 225923860012050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22825 + ... + 23285.

It is an arithmetic number, because the mean of its divisors is an integer number (561330).

Almost surely, 210628355 is an apocalyptic number.

10628355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10628355 is the 4610-th triangular number.

10628355 is a deficient number, since it is larger than the sum of its proper divisors (7334205).

10628355 is a wasteful number, since it uses less digits than its factorization.

10628355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 10628355 is about 3260.1157954895. The cubic root of 10628355 is about 219.8646205666.

The spelling of 10628355 in words is "ten million, six hundred twenty-eight thousand, three hundred fifty-five".

Divisors: 1 3 5 15 29 53 87 145 159 265 435 461 795 1383 1537 2305 4611 6915 7685 13369 23055 24433 40107 66845 73299 122165 200535 366495 708557 2125671 3542785 10628355