Search a number
-
+
10297580 = 2251731977
BaseRepresentation
bin100111010010…
…000011101100
3201101011121212
4213102003230
510114010310
61004413552
7153346046
oct47220354
921334555
1010297580
1158a37a7
1235472b8
132197157
141520a96
15d86205
hex9d20ec

10297580 has 48 divisors (see below), whose sum is σ = 23659776. Its totient is φ = 3747840.

The previous prime is 10297543. The next prime is 10297603. The reversal of 10297580 is 8579201.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10052 + ... + 11028.

It is an arithmetic number, because the mean of its divisors is an integer number (492912).

Almost surely, 210297580 is an apocalyptic number.

10297580 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 10297580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829888).

10297580 is an abundant number, since it is smaller than the sum of its proper divisors (13362196).

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

10297580 is a wasteful number, since it uses less digits than its factorization.

10297580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 10297580 is about 3208.9842629717. The cubic root of 10297580 is about 217.5596700686.

The spelling of 10297580 in words is "ten million, two hundred ninety-seven thousand, five hundred eighty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 977 1054 1954 2108 2635 3908 4885 5270 9770 10540 16609 19540 30287 33218 60574 66436 83045 121148 151435 166090 302870 332180 514879 605740 1029758 2059516 2574395 5148790 10297580