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10113776 = 2417192103
BaseRepresentation
bin100110100101…
…001011110000
3201000211111022
4212211023300
510042120101
61000435012
7151652141
oct46451360
921024438
1010113776
1157886a2
123478a68
1321315aa
1414b3ac8
15d4ba1b
hex9a52f0

10113776 has 60 divisors (see below), whose sum is σ = 22110192. Its totient is φ = 4465152.

The previous prime is 10113769. The next prime is 10113791. The reversal of 10113776 is 67731101.

It is a congruent number.

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, 98141 + ... + 98243.

Almost surely, 210113776 is an apocalyptic number.

10113776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055096).

10113776 is an abundant number, since it is smaller than the sum of its proper divisors (11996416).

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

10113776 is a wasteful number, since it uses less digits than its factorization.

10113776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 10113776 is about 3180.2163448420. The cubic root of 10113776 is about 216.2574661906.

Adding to 10113776 its reverse (67731101), we get a palindrome (77844877).

The spelling of 10113776 in words is "ten million, one hundred thirteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 103 136 152 206 272 304 323 361 412 646 722 824 1292 1444 1648 1751 1957 2584 2888 3502 3914 5168 5776 6137 7004 7828 12274 14008 15656 24548 28016 31312 33269 37183 49096 66538 74366 98192 133076 148732 266152 297464 532304 594928 632111 1264222 2528444 5056888 10113776