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10606368 = 253176797
BaseRepresentation
bin101000011101…
…011100100000
3201221212012110
4220131130200
510203400433
61015155320
7156103233
oct50353440
921855173
1010606368
115a947a3
123675b40
132274876
1415a141a
15de7963
hexa1d720

10606368 has 96 divisors (see below), whose sum is σ = 30227904. Its totient is φ = 3244032.

The previous prime is 10606367. The next prime is 10606369. The reversal of 10606368 is 86360601.

It is an interprime number because it is at equal distance from previous prime (10606367) and next prime (10606369).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106063682 = 224990084302848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10606361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109296 + ... + 109392.

It is an arithmetic number, because the mean of its divisors is an integer number (314874).

Almost surely, 210606368 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 10606368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113952).

10606368 is an abundant number, since it is smaller than the sum of its proper divisors (19621536).

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

10606368 is a wasteful number, since it uses less digits than its factorization.

10606368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 10606368 is about 3256.7419302118. The cubic root of 10606368 is about 219.7129037442.

Adding to 10606368 its reverse (86360601), we get a palindrome (96966969).

The spelling of 10606368 in words is "ten million, six hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 97 102 134 136 194 201 204 268 272 291 388 402 408 536 544 582 776 804 816 1072 1139 1164 1552 1608 1632 1649 2144 2278 2328 3104 3216 3298 3417 4556 4656 4947 6432 6499 6596 6834 9112 9312 9894 12998 13192 13668 18224 19497 19788 25996 26384 27336 36448 38994 39576 51992 52768 54672 77988 79152 103984 109344 110483 155976 158304 207968 220966 311952 331449 441932 623904 662898 883864 1325796 1767728 2651592 3535456 5303184 10606368