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10690040 = 2353137233
BaseRepresentation
bin101000110001…
…110111111000
3202010002222102
4220301313320
510214040130
61021042532
7156602204
oct50616770
922102872
1010690040
116041649
1236b6448
1322a398a
1415c3b04
15e12645
hexa31df8

10690040 has 64 divisors (see below), whose sum is σ = 25608960. Its totient is φ = 4008960.

The previous prime is 10690039. The next prime is 10690087. The reversal of 10690040 is 4009601.

It is a super-2 number, since 2×106900402 = 228553910403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10689994 and 10690021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45764 + ... + 45996.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 210690040 is an apocalyptic number.

10690040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10690040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804480).

10690040 is an abundant number, since it is smaller than the sum of its proper divisors (14918920).

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

10690040 is a wasteful number, since it uses less digits than its factorization.

10690040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10690040 is about 3269.5626618861. The cubic root of 10690040 is about 220.2891514750.

Adding to 10690040 its reverse (4009601), we get a palindrome (14699641).

The spelling of 10690040 in words is "ten million, six hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 37 40 62 74 124 148 155 185 233 248 296 310 370 466 620 740 932 1147 1165 1240 1480 1864 2294 2330 4588 4660 5735 7223 8621 9176 9320 11470 14446 17242 22940 28892 34484 36115 43105 45880 57784 68968 72230 86210 144460 172420 267251 288920 344840 534502 1069004 1336255 2138008 2672510 5345020 10690040