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10690368 = 263134283
BaseRepresentation
bin101000110001…
…111101000000
3202010010102120
4220301331000
510214042433
61021044240
7156603153
oct50617500
922103376
1010690368
116041917
1236b6680
1322a3b80
1415c3c9a
15e127b3
hexa31f40

10690368 has 56 divisors (see below), whose sum is σ = 30467808. Its totient is φ = 3288576.

The previous prime is 10690367. The next prime is 10690409. The reversal of 10690368 is 86309601.

It is a super-2 number, since 2×106903682 = 228567935950848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10690363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355 + ... + 4637.

It is an arithmetic number, because the mean of its divisors is an integer number (544068).

Almost surely, 210690368 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 10690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233904).

10690368 is an abundant number, since it is smaller than the sum of its proper divisors (19777440).

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

10690368 is a wasteful number, since it uses less digits than its factorization.

10690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 10690368 is about 3269.6128211151. The cubic root of 10690368 is about 220.2914044788.

Adding to 10690368 its reverse (86309601), we get a palindrome (96999969).

The spelling of 10690368 in words is "ten million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4283 8566 12849 17132 25698 34264 51396 55679 68528 102792 111358 137056 167037 205584 222716 274112 334074 411168 445432 668148 822336 890864 1336296 1781728 2672592 3563456 5345184 10690368