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10738480 = 245269499
BaseRepresentation
bin101000111101…
…101100110000
3202012120102111
4220331230300
510222112410
61022055104
7160163344
oct50755460
922176374
1010738480
116074a85
12371a494
1322bca3c
1415d7624
15e21b8a
hexa3db30

10738480 has 40 divisors (see below), whose sum is σ = 25110000. Its totient is φ = 4270848.

The previous prime is 10738393. The next prime is 10738487. The reversal of 10738480 is 8483701.

It is a happy number.

10738480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10738487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21271 + ... + 21769.

It is an arithmetic number, because the mean of its divisors is an integer number (627750).

Almost surely, 210738480 is an apocalyptic number.

10738480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10738480 is an abundant number, since it is smaller than the sum of its proper divisors (14371520).

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

10738480 is a wasteful number, since it uses less digits than its factorization.

10738480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 10738480 is about 3276.9620077139. The cubic root of 10738480 is about 220.6213837627.

The spelling of 10738480 in words is "ten million, seven hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 269 499 538 998 1076 1345 1996 2152 2495 2690 3992 4304 4990 5380 7984 9980 10760 19960 21520 39920 134231 268462 536924 671155 1073848 1342310 2147696 2684620 5369240 10738480