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10372120 = 2351122143
BaseRepresentation
bin100111100100…
…010000011000
3201111221212121
4213210100120
510123401440
61010151024
7154106263
oct47442030
921457777
1010372120
115944800
123582474
1321c2065
14153dcda
15d9d34a
hex9e4418

10372120 has 48 divisors (see below), whose sum is σ = 25663680. Its totient is φ = 3769920.

The previous prime is 10372067. The next prime is 10372121. The reversal of 10372120 is 2127301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10372094 and 10372103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10372121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3769 + ... + 5911.

It is an arithmetic number, because the mean of its divisors is an integer number (534660).

Almost surely, 210372120 is an apocalyptic number.

10372120 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 10372120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831840).

10372120 is an abundant number, since it is smaller than the sum of its proper divisors (15291560).

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

10372120 is a wasteful number, since it uses less digits than its factorization.

10372120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10372120 is about 3220.5775879491. The cubic root of 10372120 is about 218.0833505589.

Adding to 10372120 its reverse (2127301), we get a palindrome (12499421).

The spelling of 10372120 in words is "ten million, three hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2143 2420 4286 4840 8572 10715 17144 21430 23573 42860 47146 85720 94292 117865 188584 235730 259303 471460 518606 942920 1037212 1296515 2074424 2593030 5186060 10372120