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10620192 = 2531189113
BaseRepresentation
bin101000100000…
…110100100000
3201222120011110
4220200310200
510204321232
61015343320
7156161442
oct50406440
921876143
1010620192
115aa4120
123681b40
13227ac4b
1415a6492
15debacc
hexa20d20

10620192 has 96 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 3153920.

The previous prime is 10620179. The next prime is 10620199. The reversal of 10620192 is 29102601.

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

It is a super-2 number, since 2×106201922 = 225576956233728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10620199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93928 + ... + 94040.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 210620192 is an apocalyptic number.

10620192 is a gapful number since it is divisible by the number (12) 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 10620192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

10620192 is an abundant number, since it is smaller than the sum of its proper divisors (20406048).

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

10620192 is a wasteful number, since it uses less digits than its factorization.

10620192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10620192 is about 3258.8636056147. The cubic root of 10620192 is about 219.8083178878.

Adding to 10620192 its reverse (29102601), we get a palindrome (39722793).

The spelling of 10620192 in words is "ten million, six hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 89 96 113 132 176 178 226 264 267 339 352 356 452 528 534 678 712 904 979 1056 1068 1243 1356 1424 1808 1958 2136 2486 2712 2848 2937 3616 3729 3916 4272 4972 5424 5874 7458 7832 8544 9944 10057 10848 11748 14916 15664 19888 20114 23496 29832 30171 31328 39776 40228 46992 59664 60342 80456 93984 110627 119328 120684 160912 221254 241368 321824 331881 442508 482736 663762 885016 965472 1327524 1770032 2655048 3540064 5310096 10620192