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9993520 = 245124919
BaseRepresentation
bin100110000111…
…110100110000
3200210201112101
4212013310300
510024243040
6554110144
7150641425
oct46076460
920721471
109993520
115706309
12341b354
1320bb934
141481d4c
15d2609a
hex987d30

9993520 has 20 divisors (see below), whose sum is σ = 23235120. Its totient is φ = 3997376.

The previous prime is 9993517. The next prime is 9993527. The reversal of 9993520 is 253999.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 9993520.

It is not an unprimeable number, because it can be changed into a prime (9993527) 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 3 ways as a sum of consecutive naturals, for example, 62380 + ... + 62539.

It is an arithmetic number, because the mean of its divisors is an integer number (1161756).

Almost surely, 29993520 is an apocalyptic number.

It is an amenable number.

9993520 is an abundant number, since it is smaller than the sum of its proper divisors (13241600).

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

9993520 is a wasteful number, since it uses less digits than its factorization.

9993520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124932 (or 124926 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 37.

The square root of 9993520 is about 3161.2529161711. The cubic root of 9993520 is about 215.3969231585.

The spelling of 9993520 in words is "nine million, nine hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 124919 249838 499676 624595 999352 1249190 1998704 2498380 4996760 9993520