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10134216 = 2332413433
BaseRepresentation
bin100110101010…
…001011001000
3201001212112100
4212222023020
510043243331
61001113400
7152065551
oct46521310
921055470
1010134216
1157a1a94
123488860
13213a9a1
1414bb328
15d52ae6
hex9aa2c8

10134216 has 48 divisors (see below), whose sum is σ = 28124460. Its totient is φ = 3294720.

The previous prime is 10134181. The next prime is 10134221. The reversal of 10134216 is 61243101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8820900 + 1313316 = 2970^2 + 1146^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1236 + ... + 4668.

Almost surely, 210134216 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 10134216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14062230).

10134216 is an abundant number, since it is smaller than the sum of its proper divisors (17990244).

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

10134216 is a wasteful number, since it uses less digits than its factorization.

10134216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10134216 is about 3183.4283406416. The cubic root of 10134216 is about 216.4030540214.

Adding to 10134216 its reverse (61243101), we get a palindrome (71377317).

The spelling of 10134216 in words is "ten million, one hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3433 6866 10299 13732 20598 27464 30897 41196 61794 82392 123588 140753 247176 281506 422259 563012 844518 1126024 1266777 1689036 2533554 3378072 5067108 10134216