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10661024 = 251131977
BaseRepresentation
bin101000101010…
…110010100000
3202001122011202
4220222302200
510212123044
61020300332
7156421463
oct50526240
922048152
1010661024
116021870
1236a16a8
1322936ca
1415b72da
15e08c4e
hexa2aca0

10661024 has 48 divisors (see below), whose sum is σ = 23659776. Its totient is φ = 4684800.

The previous prime is 10661011. The next prime is 10661039. The reversal of 10661024 is 42016601.

It is a happy number.

It is a super-2 number, since 2×106610242 = 227314865457152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10660987 and 10661005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10424 + ... + 11400.

It is an arithmetic number, because the mean of its divisors is an integer number (492912).

Almost surely, 210661024 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 10661024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829888).

10661024 is an abundant number, since it is smaller than the sum of its proper divisors (12998752).

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

10661024 is a wasteful number, since it uses less digits than its factorization.

10661024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10661024 is about 3265.1223560534. The cubic root of 10661024 is about 220.0896604239.

Adding to 10661024 its reverse (42016601), we get a palindrome (52677625).

The spelling of 10661024 in words is "ten million, six hundred sixty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 977 992 1364 1954 2728 3908 5456 7816 10747 10912 15632 21494 30287 31264 42988 60574 85976 121148 171952 242296 333157 343904 484592 666314 969184 1332628 2665256 5330512 10661024