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10027134 = 2321373587
BaseRepresentation
bin100110010000…
…000001111110
3200212102122100
4212100001332
510031332014
6554525530
7151141425
oct46200176
920772570
1010027134
115729597
1234368a6
132101020
1414902bc
15d31009
hex99007e

10027134 has 48 divisors (see below), whose sum is σ = 23757552. Its totient is φ = 3037824.

The previous prime is 10027099. The next prime is 10027139. The reversal of 10027134 is 43172001.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16789 + ... + 17375.

It is an arithmetic number, because the mean of its divisors is an integer number (494949).

Almost surely, 210027134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10027134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11878776).

10027134 is an abundant number, since it is smaller than the sum of its proper divisors (13730418).

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

10027134 is a wasteful number, since it uses less digits than its factorization.

10027134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10027134 is about 3166.5650159124. The cubic root of 10027134 is about 215.6381544590.

Adding to 10027134 its reverse (43172001), we get a palindrome (53199135).

The spelling of 10027134 in words is "ten million, twenty-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 438 587 657 949 1174 1314 1761 1898 2847 3522 5283 5694 7631 8541 10566 15262 17082 22893 42851 45786 68679 85702 128553 137358 257106 385659 557063 771318 1114126 1671189 3342378 5013567 10027134