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10122016 = 253783103
BaseRepresentation
bin100110100111…
…001100100000
3201001020210111
4212213030200
510042401031
61000541104
7152015152
oct46471440
921036714
1010122016
115793903
123481794
132135278
1414b6ad2
15d4e1b1
hex9a7320

10122016 has 48 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 4817664.

The previous prime is 10122011. The next prime is 10122043. The reversal of 10122016 is 61022101.

It is a junction number, because it is equal to n+sod(n) for n = 10121987 and 10122005.

It is not an unprimeable number, because it can be changed into a prime (10122011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98221 + ... + 98323.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 210122016 is an apocalyptic number.

10122016 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 10122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

10122016 is an abundant number, since it is smaller than the sum of its proper divisors (10791968).

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

10122016 is a wasteful number, since it uses less digits than its factorization.

10122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10122016 is about 3181.5115904236. The cubic root of 10122016 is about 216.3161807532.

The spelling of 10122016 in words is "ten million, one hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 74 83 103 148 166 206 296 332 412 592 664 824 1184 1328 1648 2656 3071 3296 3811 6142 7622 8549 12284 15244 17098 24568 30488 34196 49136 60976 68392 98272 121952 136784 273568 316313 632626 1265252 2530504 5061008 10122016