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10661490 = 233575641
BaseRepresentation
bin101000101010…
…111001110010
3202001122211000
4220222321302
510212131430
61020302430
7156423030
oct50527162
922048730
1010661490
116022154
1236a1a16
132293998
1415b7550
15e08e60
hexa2ae72

10661490 has 64 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 2436480.

The previous prime is 10661479. The next prime is 10661491. The reversal of 10661490 is 9416601.

10661490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106614902 = 227334738040200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10661491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931 + ... + 4710.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 210661490 is an apocalyptic number.

10661490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

10661490 is an abundant number, since it is smaller than the sum of its proper divisors (21836430).

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

10661490 is a wasteful number, since it uses less digits than its factorization.

10661490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10661490 is about 3265.1937155397. The cubic root of 10661490 is about 220.0928671292.

It can be divided in two parts, 1066 and 1490, that added together give a triangular number (2556 = T71).

The spelling of 10661490 in words is "ten million, six hundred sixty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5641 11282 16923 28205 33846 39487 50769 56410 78974 84615 101538 118461 152307 169230 197435 236922 253845 304614 355383 394870 507690 592305 710766 761535 1066149 1184610 1523070 1776915 2132298 3553830 5330745 10661490