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10681902 = 2337211367
BaseRepresentation
bin101000101111…
…111000101110
3202002200211000
4220233320232
510213310102
61020541130
7156536400
oct50577056
922080730
1010681902
116036520
1236b17a6
1322a006a
1415c0b70
15e1001c
hexa2fe2e

10681902 has 96 divisors (see below), whose sum is σ = 30205440. Its totient is φ = 2766960.

The previous prime is 10681897. The next prime is 10681903. The reversal of 10681902 is 20918601.

It is a super-2 number, since 2×106819022 = 228206060675208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28923 + ... + 29289.

It is an arithmetic number, because the mean of its divisors is an integer number (314640).

Almost surely, 210681902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10681902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15102720).

10681902 is an abundant number, since it is smaller than the sum of its proper divisors (19523538).

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

10681902 is a wasteful number, since it uses less digits than its factorization.

10681902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10681902 is about 3268.3179159929. The cubic root of 10681902 is about 220.2332374896.

The spelling of 10681902 in words is "ten million, six hundred eighty-one thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 367 378 441 462 539 594 693 734 882 1078 1101 1323 1386 1617 2079 2202 2569 2646 3234 3303 4037 4158 4851 5138 6606 7707 8074 9702 9909 12111 14553 15414 17983 19818 23121 24222 28259 29106 35966 36333 46242 53949 56518 69363 72666 84777 107898 108999 138726 161847 169554 197813 217998 254331 323694 395626 485541 508662 593439 762993 971082 1186878 1525986 1780317 3560634 5340951 10681902