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10321920 = 2153257
BaseRepresentation
bin100111011000…
…000000000000
3201102102000100
4213120000000
510120300140
61005122400
7153510030
oct47300000
921372010
1010321920
115910014
123559400
1321a525b
1415298c0
15d8d530
hex9d8000

10321920 has 192 divisors, whose sum is σ = 40893840. Its totient is φ = 2359296.

The previous prime is 10321919. The next prime is 10321937. The reversal of 10321920 is 2912301.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 8! ⋅ (2!)8.

It is a double factorial (10321920 = 16 !! = 2 ⋅ 4 ⋅ 6 ⋅ 8 ⋅ 10 ⋅ 12 ⋅ 14 ⋅ 16 ).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 10321893 and 10321902.

It is a congruent number.

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, 1474557 + ... + 1474563.

Almost surely, 210321920 is an apocalyptic number.

10321920 is a gapful number since it is divisible by the number (10) 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 10321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20446920).

10321920 is an abundant number, since it is smaller than the sum of its proper divisors (30571920).

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

10321920 is an frugal number, since it uses more digits than its factorization.

10321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10321920 is about 3212.7745018909. The cubic root of 10321920 is about 217.7309477105.

The spelling of 10321920 in words is "ten million, three hundred twenty-one thousand, nine hundred twenty".