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9953364 = 2231797503
BaseRepresentation
bin100101111110…
…000001010100
3200201200110010
4211332001110
510022001424
6553200220
7150413361
oct45760124
920650403
109953364
115689123
123400070
1320a6585
141471468
15d19229
hex97e054

9953364 has 48 divisors (see below), whose sum is σ = 24893568. Its totient is φ = 3084288.

The previous prime is 9953341. The next prime is 9953369. The reversal of 9953364 is 4633599.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9953369) by changing a digit.

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, 19537 + ... + 20039.

It is an arithmetic number, because the mean of its divisors is an integer number (518616).

Almost surely, 29953364 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 9953364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446784).

9953364 is an abundant number, since it is smaller than the sum of its proper divisors (14940204).

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

9953364 is a wasteful number, since it uses less digits than its factorization.

9953364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 622 counting only the distinct ones).

The product of its digits is 87480, while the sum is 39.

The square root of 9953364 is about 3154.8952439027. The cubic root of 9953364 is about 215.1080329610.

The spelling of 9953364 in words is "nine million, nine hundred fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 97 102 194 204 291 388 503 582 1006 1164 1509 1649 2012 3018 3298 4947 6036 6596 8551 9894 17102 19788 25653 34204 48791 51306 97582 102612 146373 195164 292746 585492 829447 1658894 2488341 3317788 4976682 9953364