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10669960 = 235753719
BaseRepresentation
bin101000101100…
…111110001000
3202002002102201
4220230332020
510212414320
61020405544
7156456520
oct50547610
922062381
1010669960
116028554
1236a68b4
1322977b2
1415ba680
15e0b70a
hexa2cf88

10669960 has 64 divisors (see below), whose sum is σ = 27993600. Its totient is φ = 3584256.

The previous prime is 10669927. The next prime is 10669961. The reversal of 10669960 is 6996601.

It is a super-2 number, since 2×106699602 = 227696092803200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10669961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14481 + ... + 15199.

It is an arithmetic number, because the mean of its divisors is an integer number (437400).

Almost surely, 210669960 is an apocalyptic number.

10669960 is a gapful number since it is divisible by the number (10) 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 10669960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996800).

10669960 is an abundant number, since it is smaller than the sum of its proper divisors (17323640).

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

10669960 is a wasteful number, since it uses less digits than its factorization.

10669960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 10669960 is about 3266.4904714387. The cubic root of 10669960 is about 220.1511358182.

It can be divided in two parts, 1066 and 9960, that added together give a triangular number (11026 = T148).

The spelling of 10669960 in words is "ten million, six hundred sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 719 742 1060 1438 1484 1855 2120 2876 2968 3595 3710 5033 5752 7190 7420 10066 14380 14840 20132 25165 28760 38107 40264 50330 76214 100660 152428 190535 201320 266749 304856 381070 533498 762140 1066996 1333745 1524280 2133992 2667490 5334980 10669960