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5380776 = 233329859
BaseRepresentation
bin10100100001101010101000
3101010101001000
4110201222220
52334141101
6311155000
763510252
oct24415250
911111030
105380776
113045725
121975a60
1311651bb
14a00cd2
15714486
hex521aa8

5380776 has 64 divisors (see below), whose sum is σ = 15480000. Its totient is φ = 1729728.

The previous prime is 5380751. The next prime is 5380777. The reversal of 5380776 is 6770835.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5380776.

It is not an unprimeable number, because it can be changed into a prime (5380777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5835 + ... + 6693.

It is an arithmetic number, because the mean of its divisors is an integer number (241875).

Almost surely, 25380776 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 5380776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740000).

5380776 is an abundant number, since it is smaller than the sum of its proper divisors (10099224).

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

5380776 is a wasteful number, since it uses less digits than its factorization.

5380776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5380776 is about 2319.6499735952. The cubic root of 5380776 is about 175.2326266878.

The spelling of 5380776 in words is "five million, three hundred eighty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 859 1044 1566 1718 2088 2577 3132 3436 5154 6264 6872 7731 10308 15462 20616 23193 24911 30924 46386 49822 61848 74733 92772 99644 149466 185544 199288 224199 298932 448398 597864 672597 896796 1345194 1793592 2690388 5380776