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10689048 = 2332314789
BaseRepresentation
bin101000110001…
…101000011000
3202010001121200
4220301220120
510214022143
61021034200
7156566256
oct50615030
922101550
1010689048
116040927
1236b5960
1322a33a6
1415c35d6
15e121d3
hexa31a18

10689048 has 48 divisors (see below), whose sum is σ = 29889600. Its totient is φ = 3447360.

The previous prime is 10689047. The next prime is 10689067. The reversal of 10689048 is 84098601.

It is a happy number.

It is a super-2 number, since 2×106890482 = 228511494292608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10689047) 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, 163 + ... + 4626.

It is an arithmetic number, because the mean of its divisors is an integer number (622700).

Almost surely, 210689048 is an apocalyptic number.

10689048 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 10689048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944800).

10689048 is an abundant number, since it is smaller than the sum of its proper divisors (19200552).

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

10689048 is a wasteful number, since it uses less digits than its factorization.

10689048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10689048 is about 3269.4109561204. The cubic root of 10689048 is about 220.2823372317.

The spelling of 10689048 in words is "ten million, six hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 4789 9578 14367 19156 28734 38312 43101 57468 86202 114936 148459 172404 296918 344808 445377 593836 890754 1187672 1336131 1781508 2672262 3563016 5344524 10689048