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10398016 = 261719503
BaseRepresentation
bin100111101010…
…100101000000
3201120021101201
4213222211000
510130214031
61010510544
7154244626
oct47524500
921507351
1010398016
115962202
123595454
132200a95
141549516
15da5d61
hex9ea940

10398016 has 56 divisors (see below), whose sum is σ = 23042880. Its totient is φ = 4626432.

The previous prime is 10398013. The next prime is 10398019. The reversal of 10398016 is 61089301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10398013) and next prime (10398019).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10398013) 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, 20421 + ... + 20923.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 210398016 is an apocalyptic number.

10398016 is a gapful number since it is divisible by the number (16) 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 10398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11521440).

10398016 is an abundant number, since it is smaller than the sum of its proper divisors (12644864).

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

10398016 is a wasteful number, since it uses less digits than its factorization.

10398016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 10398016 is about 3224.5954785058. The cubic root of 10398016 is about 218.2646954508.

The spelling of 10398016 in words is "ten million, three hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 503 544 608 646 1006 1088 1216 1292 2012 2584 4024 5168 8048 8551 9557 10336 16096 17102 19114 20672 32192 34204 38228 68408 76456 136816 152912 162469 273632 305824 324938 547264 611648 649876 1299752 2599504 5199008 10398016