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10118416 = 2471143191
BaseRepresentation
bin100110100110…
…010100010000
3201001001212011
4212212110100
510042242131
61000512304
7152001520
oct46462420
921031764
1010118416
115791130
12347b694
132133739
1414b5680
15d4d0b1
hex9a6510

10118416 has 80 divisors (see below), whose sum is σ = 25141248. Its totient is φ = 3830400.

The previous prime is 10118401. The next prime is 10118429. The reversal of 10118416 is 61481101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52881 + ... + 53071.

Almost surely, 210118416 is an apocalyptic number.

10118416 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 10118416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570624).

10118416 is an abundant number, since it is smaller than the sum of its proper divisors (15022832).

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

10118416 is a wasteful number, since it uses less digits than its factorization.

10118416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The square root of 10118416 is about 3180.9457713076. The cubic root of 10118416 is about 216.2905326810.

Adding to 10118416 its reverse (61481101), we get a palindrome (71599517).

The spelling of 10118416 in words is "ten million, one hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 43 44 56 77 86 88 112 154 172 176 191 301 308 344 382 473 602 616 688 764 946 1204 1232 1337 1528 1892 2101 2408 2674 3056 3311 3784 4202 4816 5348 6622 7568 8213 8404 10696 13244 14707 16426 16808 21392 26488 29414 32852 33616 52976 57491 58828 65704 90343 114982 117656 131408 180686 229964 235312 361372 459928 632401 722744 919856 1264802 1445488 2529604 5059208 10118416