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10495272 = 2333753223
BaseRepresentation
bin101000000010…
…010100101000
3201202012210210
4220002110220
510141322042
61012541120
7155131314
oct50022450
921665723
1010495272
115a19287
1236217a0
132236128
141572b44
15dc4a9c
hexa02528

10495272 has 64 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 3324672.

The previous prime is 10495249. The next prime is 10495279. The reversal of 10495272 is 27259401.

It is a super-2 number, since 2×104952722 = 220301468707968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10495279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46953 + ... + 47175.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 210495272 is an apocalyptic number.

10495272 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 10495272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

10495272 is an abundant number, since it is smaller than the sum of its proper divisors (17083608).

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

10495272 is a wasteful number, since it uses less digits than its factorization.

10495272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10495272 is about 3239.6407208208. The cubic root of 10495272 is about 218.9430848115.

The spelling of 10495272 in words is "ten million, four hundred ninety-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 111 148 159 212 222 223 296 318 424 444 446 636 669 888 892 1272 1338 1784 1961 2676 3922 5352 5883 7844 8251 11766 11819 15688 16502 23532 23638 24753 33004 35457 47064 47276 49506 66008 70914 94552 99012 141828 198024 283656 437303 874606 1311909 1749212 2623818 3498424 5247636 10495272