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25170080 = 2551312101
BaseRepresentation
bin110000000000…
…1000010100000
31202100202212012
41200001002200
522420420310
62255252052
7423641105
oct140010240
952322765
1025170080
1113231721
12851a028
1352a3750
1434b2aac
152322c05
hex18010a0

25170080 has 48 divisors (see below), whose sum is σ = 64043784. Its totient is φ = 9292800.

The previous prime is 25170037. The next prime is 25170097. The reversal of 25170080 is 8007152.

It can be written as a sum of positive squares in 4 ways, for example, as 23309584 + 1860496 = 4828^2 + 1364^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3971 + ... + 8130.

Almost surely, 225170080 is an apocalyptic number.

25170080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25170080 is an abundant number, since it is smaller than the sum of its proper divisors (38873704).

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

25170080 is a wasteful number, since it uses less digits than its factorization.

25170080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12129 (or 12121 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 25170080 is about 5016.9791707760. The cubic root of 25170080 is about 293.0633650186.

The spelling of 25170080 in words is "twenty-five million, one hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 12101 24202 48404 60505 96808 121010 157313 193616 242020 314626 387232 484040 629252 786565 968080 1258504 1573130 1936160 2517008 3146260 5034016 6292520 12585040 25170080