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10114848 = 253323509
BaseRepresentation
bin100110100101…
…011100100000
3201000212222000
4212211130200
510042133343
61000444000
7151655232
oct46453440
921025860
1010114848
115789487
123479600
132131c23
1414b4252
15d4bed3
hex9a5720

10114848 has 96 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 3218688.

The previous prime is 10114843. The next prime is 10114849. The reversal of 10114848 is 84841101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10114843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19618 + ... + 20126.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 210114848 is an apocalyptic number.

10114848 is a gapful number since it is divisible by the number (18) 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 10114848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

10114848 is an abundant number, since it is smaller than the sum of its proper divisors (20729952).

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

10114848 is a wasteful number, since it uses less digits than its factorization.

10114848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 10114848 is about 3180.3848823688. The cubic root of 10114848 is about 216.2651065883.

Adding to 10114848 its reverse (84841101), we get a palindrome (94955949).

The spelling of 10114848 in words is "ten million, one hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 509 552 621 736 828 864 1018 1104 1242 1527 1656 2036 2208 2484 3054 3312 4072 4581 4968 6108 6624 8144 9162 9936 11707 12216 13743 16288 18324 19872 23414 24432 27486 35121 36648 46828 48864 54972 70242 73296 93656 105363 109944 140484 146592 187312 210726 219888 280968 316089 374624 421452 439776 561936 632178 842904 1123872 1264356 1685808 2528712 3371616 5057424 10114848