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10993520 = 2451311049
BaseRepresentation
bin101001111011…
…111101110000
3202200112021102
4221323331300
510303243040
61031343532
7162305036
oct51737560
922615242
1010993520
11622965a
123821ba8
13237bb55
141662556
15e72515
hexa7bf70

10993520 has 40 divisors (see below), whose sum is σ = 25779600. Its totient is φ = 4359680.

The previous prime is 10993519. The next prime is 10993531. The reversal of 10993520 is 2539901.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×109935203 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9956 + ... + 11004.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 210993520 is an apocalyptic number.

10993520 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 10993520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889800).

10993520 is an abundant number, since it is smaller than the sum of its proper divisors (14786080).

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

10993520 is a wasteful number, since it uses less digits than its factorization.

10993520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 10993520 is about 3315.6477496863. The cubic root of 10993520 is about 222.3543295970.

The spelling of 10993520 in words is "ten million, nine hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1049 1310 2096 2098 2620 4196 5240 5245 8392 10480 10490 16784 20980 41960 83920 137419 274838 549676 687095 1099352 1374190 2198704 2748380 5496760 10993520