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10134376 = 2372103251
BaseRepresentation
bin100110101010…
…001101101000
3201001212202021
4212222031220
510043300001
61001114224
7152066200
oct46521550
921055667
1010134376
1157a211a
123488974
13213aa95
1414bb400
15d52ba1
hex9aa368

10134376 has 48 divisors (see below), whose sum is σ = 22407840. Its totient is φ = 4284000.

The previous prime is 10134359. The next prime is 10134401. The reversal of 10134376 is 67343101.

It is a self number, because there is not a number n which added to its sum of digits gives 10134376.

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 11 ways as a sum of consecutive naturals, for example, 40251 + ... + 40501.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 210134376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203920).

10134376 is an abundant number, since it is smaller than the sum of its proper divisors (12273464).

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

10134376 is a wasteful number, since it uses less digits than its factorization.

10134376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 10134376 is about 3183.4534706824. The cubic root of 10134376 is about 216.4041928797.

Adding to 10134376 its reverse (67343101), we get a palindrome (77477477).

The spelling of 10134376 in words is "ten million, one hundred thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 251 392 412 502 721 824 1004 1442 1757 2008 2884 3514 5047 5768 7028 10094 12299 14056 20188 24598 25853 40376 49196 51706 98392 103412 180971 206824 361942 723884 1266797 1447768 2533594 5067188 10134376