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10134816 = 253193547
BaseRepresentation
bin100110101010…
…010100100000
3201001220100120
4212222110200
510043303231
61001120240
7152100366
oct46522440
921056316
1010134816
1157a248a
123489080
13213b043
1414bb636
15d52d96
hex9aa520

10134816 has 48 divisors (see below), whose sum is σ = 26790624. Its totient is φ = 3354624.

The previous prime is 10134811. The next prime is 10134863. The reversal of 10134816 is 61843101.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (10134811) 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, 18255 + ... + 18801.

It is an arithmetic number, because the mean of its divisors is an integer number (558138).

Almost surely, 210134816 is an apocalyptic number.

10134816 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 10134816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395312).

10134816 is an abundant number, since it is smaller than the sum of its proper divisors (16655808).

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

10134816 is a wasteful number, since it uses less digits than its factorization.

10134816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

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

The square root of 10134816 is about 3183.5225772719. The cubic root of 10134816 is about 216.4073246781.

Adding to 10134816 its reverse (61843101), we get a palindrome (71977917).

The spelling of 10134816 in words is "ten million, one hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 547 579 772 1094 1158 1544 1641 2188 2316 3088 3282 4376 4632 6176 6564 8752 9264 13128 17504 18528 26256 52512 105571 211142 316713 422284 633426 844568 1266852 1689136 2533704 3378272 5067408 10134816