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10985625 = 3454731
BaseRepresentation
bin101001111010…
…000010011001
3202200010110000
4221322002121
510303020000
61031243213
7162243030
oct51720231
922603400
1010985625
116223732
123819509
132378391
14165d717
15e70000
hexa7a099

10985625 has 100 divisors (see below), whose sum is σ = 24192256. Its totient is φ = 4860000.

The previous prime is 10985609. The next prime is 10985641. The reversal of 10985625 is 52658901.

It is a happy number.

10985625 is a `hidden beast` number, since 1 + 0 + 98 + 562 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10985609) and next prime (10985641).

It is not a de Polignac number, because 10985625 - 24 = 10985609 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10985625.

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 99 ways as a sum of consecutive naturals, for example, 354360 + ... + 354390.

Almost surely, 210985625 is an apocalyptic number.

10985625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10985625 is an abundant number, since it is smaller than the sum of its proper divisors (13206631).

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

10985625 is an frugal number, since it uses more digits than its factorization.

10985625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 10985625 is about 3314.4569690977. The cubic root of 10985625 is about 222.3010889050.

The spelling of 10985625 in words is "ten million, nine hundred eighty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 31 35 45 63 75 81 93 105 125 135 155 175 189 217 225 279 315 375 405 465 525 567 625 651 675 775 837 875 945 1085 1125 1395 1575 1875 1953 2025 2325 2511 2625 2835 3255 3375 3875 4185 4375 4725 5425 5625 5859 6975 7875 9765 10125 11625 12555 13125 14175 16275 16875 17577 19375 20925 23625 27125 29295 34875 39375 48825 50625 58125 62775 70875 81375 87885 104625 118125 135625 146475 174375 244125 313875 354375 406875 439425 523125 732375 1220625 1569375 2197125 3661875 10985625