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10668348 = 2234191733
BaseRepresentation
bin101000101100…
…100100111100
3202002000020000
4220230210330
510212341343
61020354300
7156452025
oct50544474
922060200
1010668348
116027319
1236a5990
132296b42
1415b9c4c
15e0aed3
hexa2c93c

10668348 has 60 divisors (see below), whose sum is σ = 29373960. Its totient is φ = 3367008.

The previous prime is 10668331. The next prime is 10668373. The reversal of 10668348 is 84386601.

It is a happy number.

It is a super-2 number, since 2×106683482 = 227627298098208, 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 an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 5290 + ... + 7022.

It is an arithmetic number, because the mean of its divisors is an integer number (489566).

Almost surely, 210668348 is an apocalyptic number.

10668348 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 10668348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14686980).

10668348 is an abundant number, since it is smaller than the sum of its proper divisors (18705612).

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

10668348 is a wasteful number, since it uses less digits than its factorization.

10668348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10668348 is about 3266.2437141157. The cubic root of 10668348 is about 220.1400485694.

The spelling of 10668348 in words is "ten million, six hundred sixty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 1733 2052 3078 3466 5199 6156 6932 10398 15597 20796 31194 32927 46791 62388 65854 93582 98781 131708 140373 187164 197562 280746 296343 395124 561492 592686 889029 1185372 1778058 2667087 3556116 5334174 10668348