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10016340 = 22351391201
BaseRepresentation
bin100110001101…
…011001010100
3200211212211120
4212031121110
510031010330
6554403540
7151065105
oct46153124
920755746
1010016340
115721474
1234305b0
1320c9139
14148a3ac
15d2cc10
hex98d654

10016340 has 48 divisors (see below), whose sum is σ = 28271040. Its totient is φ = 2649600.

The previous prime is 10016329. The next prime is 10016351. The reversal of 10016340 is 4361001.

It is an interprime number because it is at equal distance from previous prime (10016329) and next prime (10016351).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7740 + ... + 8940.

It is an arithmetic number, because the mean of its divisors is an integer number (588980).

Almost surely, 210016340 is an apocalyptic number.

10016340 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 10016340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14135520).

10016340 is an abundant number, since it is smaller than the sum of its proper divisors (18254700).

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

10016340 is a wasteful number, since it uses less digits than its factorization.

10016340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10016340 is about 3164.8601864853. The cubic root of 10016340 is about 215.5607500234.

Adding to 10016340 its reverse (4361001), we get a palindrome (14377341).

The spelling of 10016340 in words is "ten million, sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1201 1390 1668 2085 2402 2780 3603 4170 4804 6005 7206 8340 12010 14412 18015 24020 36030 72060 166939 333878 500817 667756 834695 1001634 1669390 2003268 2504085 3338780 5008170 10016340