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10993320 = 233651329
BaseRepresentation
bin101001111011…
…111010101000
3202200112000000
4221323322220
510303241240
61031343000
7162304332
oct51737250
922615000
1010993320
116229498
123821a60
13237ba30
141662452
15e72430
hexa7bea8

10993320 has 224 divisors, whose sum is σ = 41315400. Its totient is φ = 2612736.

The previous prime is 10993319. The next prime is 10993321. The reversal of 10993320 is 2339901.

It is an interprime number because it is at equal distance from previous prime (10993319) and next prime (10993321).

It can be written as a sum of positive squares in 4 ways, for example, as 7001316 + 3992004 = 2646^2 + 1998^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10993321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 379066 + ... + 379094.

Almost surely, 210993320 is an apocalyptic number.

10993320 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 10993320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20657700).

10993320 is an abundant number, since it is smaller than the sum of its proper divisors (30322080).

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

10993320 is a wasteful number, since it uses less digits than its factorization.

10993320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 10993320 is about 3315.6175895299. The cubic root of 10993320 is about 222.3529811925.

The spelling of 10993320 in words is "ten million, nine hundred ninety-three thousand, three hundred twenty".