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10690008 = 23371719197
BaseRepresentation
bin101000110001…
…110111011000
3202010002221020
4220301313120
510214040013
61021042440
7156602130
oct50616730
922102836
1010690008
11604161a
1236b6420
1322a3964
1415c3ac0
15e12623
hexa31dd8

10690008 has 128 divisors (see below), whose sum is σ = 34214400. Its totient is φ = 2709504.

The previous prime is 10690007. The next prime is 10690039. The reversal of 10690008 is 80009601.

10690008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106900082 = 228552542080128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10690008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10690007) 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, 54166 + ... + 54362.

It is an arithmetic number, because the mean of its divisors is an integer number (267300).

Almost surely, 210690008 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 10690008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17107200).

10690008 is an abundant number, since it is smaller than the sum of its proper divisors (23524392).

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

10690008 is a wasteful number, since it uses less digits than its factorization.

10690008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10690008 is about 3269.5577682616. The cubic root of 10690008 is about 220.2889316672.

Adding to 10690008 its reverse (80009601), we get a palindrome (90699609).

The spelling of 10690008 in words is "ten million, six hundred ninety thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 197 204 228 238 266 323 357 394 399 408 456 476 532 591 646 714 788 798 952 969 1064 1182 1292 1379 1428 1576 1596 1938 2261 2364 2584 2758 2856 3192 3349 3743 3876 4137 4522 4728 5516 6698 6783 7486 7752 8274 9044 10047 11032 11229 13396 13566 14972 16548 18088 20094 22458 23443 26201 26792 27132 29944 33096 40188 44916 46886 52402 54264 63631 70329 78603 80376 89832 93772 104804 127262 140658 157206 187544 190893 209608 254524 281316 314412 381786 445417 509048 562632 628824 763572 890834 1336251 1527144 1781668 2672502 3563336 5345004 10690008