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10689894 = 2341923151
BaseRepresentation
bin101000110001…
…110101100110
3202010002210000
4220301311212
510214034034
61021042130
7156601605
oct50616546
922102700
1010689894
116041526
1236b6346
1322a38a7
1415c3a3c
15e12599
hexa31d66

10689894 has 80 divisors (see below), whose sum is σ = 26484480. Its totient is φ = 3207600.

The previous prime is 10689883. The next prime is 10689907. The reversal of 10689894 is 49898601.

10689894 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106898942 = 228547667462472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70719 + ... + 70869.

It is an arithmetic number, because the mean of its divisors is an integer number (331056).

Almost surely, 210689894 is an apocalyptic number.

10689894 is the 1748-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10689894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242240).

10689894 is an abundant number, since it is smaller than the sum of its proper divisors (15794586).

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

10689894 is a wasteful number, since it uses less digits than its factorization.

10689894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 10689894 is about 3269.5403346648. The cubic root of 10689894 is about 220.2881485987.

It can be divided in two parts, 106 and 89894, that added together give a square (90000 = 3002).

The spelling of 10689894 in words is "ten million, six hundred eighty-nine thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 114 138 151 162 171 207 302 342 414 437 453 513 621 874 906 1026 1242 1311 1359 1539 1863 2622 2718 2869 3078 3473 3726 3933 4077 5738 6946 7866 8154 8607 10419 11799 12231 17214 20838 23598 24462 25821 31257 35397 51642 62514 65987 70794 77463 93771 131974 154926 187542 197961 232389 281313 395922 464778 562626 593883 1187766 1781649 3563298 5344947 10689894