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10216992 = 253106427
BaseRepresentation
bin100110111110…
…011000100000
3201020002002010
4212332120200
510103420432
61002552520
7152562102
oct46763040
921202063
1010216992
1158491a5
123508740
132169576
1414dd572
15d6c3cc
hex9be620

10216992 has 24 divisors (see below), whose sum is σ = 26819856. Its totient is φ = 3405632.

The previous prime is 10216981. The next prime is 10217029. The reversal of 10216992 is 29961201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53118 + ... + 53309.

It is an arithmetic number, because the mean of its divisors is an integer number (1117494).

Almost surely, 210216992 is an apocalyptic number.

10216992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10216992 is an abundant number, since it is smaller than the sum of its proper divisors (16602864).

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

10216992 is a wasteful number, since it uses less digits than its factorization.

10216992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106440 (or 106432 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10216992 is about 3196.4029783493. The cubic root of 10216992 is about 216.9906485101.

The spelling of 10216992 in words is "ten million, two hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 106427 212854 319281 425708 638562 851416 1277124 1702832 2554248 3405664 5108496 10216992