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10025136 = 2432116329
BaseRepresentation
bin100110001111…
…100010110000
3200212022220100
4212033202300
510031301021
6554512400
7151132542
oct46174260
920768810
1010025136
115728040
123435700
132100144
14148d692
15d30626
hex98f8b0

10025136 has 60 divisors (see below), whose sum is σ = 30611880. Its totient is φ = 3037440.

The previous prime is 10025131. The next prime is 10025161. The reversal of 10025136 is 63152001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10025131) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1581 + ... + 4748.

It is an arithmetic number, because the mean of its divisors is an integer number (510198).

Almost surely, 210025136 is an apocalyptic number.

10025136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10025136 is an abundant number, since it is smaller than the sum of its proper divisors (20586744).

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

10025136 is a wasteful number, since it uses less digits than its factorization.

10025136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10025136 is about 3166.2495163837. The cubic root of 10025136 is about 215.6238308695.

Adding to 10025136 its reverse (63152001), we get a palindrome (73177137).

The spelling of 10025136 in words is "ten million, twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 6329 12658 18987 25316 37974 50632 56961 69619 75948 101264 113922 139238 151896 208857 227844 278476 303792 417714 455688 556952 626571 835428 911376 1113904 1253142 1670856 2506284 3341712 5012568 10025136