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10706808 = 2337101631
BaseRepresentation
bin101000110101…
…111101111000
3202010221222110
4220311331320
510220104213
61021252320
7160002120
oct50657570
922127873
1010706808
116053202
1237040a0
1322ab4b8
1415c9c80
15e175c3
hexa35f78

10706808 has 64 divisors (see below), whose sum is σ = 30942720. Its totient is φ = 3024000.

The previous prime is 10706807. The next prime is 10706809. The reversal of 10706808 is 80860701.

It is an interprime number because it is at equal distance from previous prime (10706807) and next prime (10706809).

It is a super-2 number, since 2×107068082 = 229271475097728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10706803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16653 + ... + 17283.

It is an arithmetic number, because the mean of its divisors is an integer number (483480).

Almost surely, 210706808 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 10706808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471360).

10706808 is an abundant number, since it is smaller than the sum of its proper divisors (20235912).

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

10706808 is a wasteful number, since it uses less digits than its factorization.

10706808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 10706808 is about 3272.1259144477. The cubic root of 10706808 is about 220.4042704346.

The spelling of 10706808 in words is "ten million, seven hundred six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 631 707 808 1212 1262 1414 1893 2121 2424 2524 2828 3786 4242 4417 5048 5656 7572 8484 8834 13251 15144 16968 17668 26502 35336 53004 63731 106008 127462 191193 254924 382386 446117 509848 764772 892234 1338351 1529544 1784468 2676702 3568936 5353404 10706808