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10114368 = 263114789
BaseRepresentation
bin100110100101…
…010101000000
3201000212022020
4212211111000
510042124433
61000441440
7151653645
oct46452500
921025266
1010114368
115789090
123479280
132131944
1414b3dcc
15d4bcb3
hex9a5540

10114368 has 56 divisors (see below), whose sum is σ = 29199840. Its totient is φ = 3064320.

The previous prime is 10114343. The next prime is 10114393. The reversal of 10114368 is 86341101.

It is an interprime number because it is at equal distance from previous prime (10114343) and next prime (10114393).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283 + ... + 4506.

Almost surely, 210114368 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 10114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599920).

10114368 is an abundant number, since it is smaller than the sum of its proper divisors (19085472).

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

10114368 is a wasteful number, since it uses less digits than its factorization.

10114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10114368 is about 3180.3094189088. The cubic root of 10114368 is about 216.2616855815.

Adding to 10114368 its reverse (86341101), we get a palindrome (96455469).

The spelling of 10114368 in words is "ten million, one hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 4789 9578 14367 19156 28734 38312 52679 57468 76624 105358 114936 153248 158037 210716 229872 306496 316074 421432 459744 632148 842864 919488 1264296 1685728 2528592 3371456 5057184 10114368