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10677942 = 23211199271
BaseRepresentation
bin101000101110…
…111010110110
3202002111101100
4220232322312
510213143232
61020510530
7156522012
oct50567266
922074340
1010677942
116033550
1236ab446
13229b312
1415bd542
15e0dc7c
hexa2eeb6

10677942 has 48 divisors (see below), whose sum is σ = 25459200. Its totient is φ = 3207600.

The previous prime is 10677937. The next prime is 10677971. The reversal of 10677942 is 24977601.

It is a happy number.

It is a super-2 number, since 2×106779422 = 228036890710728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10677897 and 10677906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39267 + ... + 39537.

It is an arithmetic number, because the mean of its divisors is an integer number (530400).

Almost surely, 210677942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10677942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729600).

10677942 is an abundant number, since it is smaller than the sum of its proper divisors (14781258).

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

10677942 is a wasteful number, since it uses less digits than its factorization.

10677942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 10677942 is about 3267.7120436171. The cubic root of 10677942 is about 220.2060191342.

It can be divided in two parts, 1067 and 7942, that added together give a palindrome (9009).

The spelling of 10677942 in words is "ten million, six hundred seventy-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 199 271 398 542 597 813 1194 1626 1791 2189 2439 2981 3582 4378 4878 5962 6567 8943 13134 17886 19701 26829 39402 53658 53929 107858 161787 323574 485361 593219 970722 1186438 1779657 3559314 5338971 10677942