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10631148 = 22311431873
BaseRepresentation
bin101000100011…
…011111101100
3202000010012020
4220203133230
510210144043
61015510140
7156235413
oct50433754
922003166
1010631148
116001380
123688350
132282c28
1415aa47a
15deee83
hexa237ec

10631148 has 48 divisors (see below), whose sum is σ = 27705216. Its totient is φ = 3144960.

The previous prime is 10631147. The next prime is 10631161. The reversal of 10631148 is 84113601.

It is a super-2 number, since 2×106311482 = 226042615595808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10631143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4740 + ... + 6612.

It is an arithmetic number, because the mean of its divisors is an integer number (577192).

Almost surely, 210631148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10631148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13852608).

10631148 is an abundant number, since it is smaller than the sum of its proper divisors (17074068).

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

10631148 is a wasteful number, since it uses less digits than its factorization.

10631148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10631148 is about 3260.5441263691. The cubic root of 10631148 is about 219.8838781125.

Adding to 10631148 its reverse (84113601), we get a palindrome (94744749).

It can be divided in two parts, 1063 and 1148, that added together give a triangular number (2211 = T66).

The spelling of 10631148 in words is "ten million, six hundred thirty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1873 1892 2838 3746 5619 5676 7492 11238 20603 22476 41206 61809 80539 82412 123618 161078 241617 247236 322156 483234 885929 966468 1771858 2657787 3543716 5315574 10631148