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10375740 = 2232559977
BaseRepresentation
bin100111100101…
…001000111100
3201112010211200
4213211020330
510124010430
61010215500
7154122654
oct47451074
921463750
1010375740
1159474a1
123584590
1321c38bb
141541364
15d9e460
hex9e523c

10375740 has 72 divisors (see below), whose sum is σ = 32039280. Its totient is φ = 2717184.

The previous prime is 10375733. The next prime is 10375751. The reversal of 10375740 is 4757301.

10375740 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10132 + ... + 11108.

It is an arithmetic number, because the mean of its divisors is an integer number (444990).

Almost surely, 210375740 is an apocalyptic number.

10375740 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 10375740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16019640).

10375740 is an abundant number, since it is smaller than the sum of its proper divisors (21663540).

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

10375740 is a wasteful number, since it uses less digits than its factorization.

10375740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 10375740 is about 3221.1395499109. The cubic root of 10375740 is about 218.1087188829.

The spelling of 10375740 in words is "ten million, three hundred seventy-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 977 1062 1180 1770 1954 2124 2655 2931 3540 3908 4885 5310 5862 8793 9770 10620 11724 14655 17586 19540 29310 35172 43965 57643 58620 87930 115286 172929 175860 230572 288215 345858 518787 576430 691716 864645 1037574 1152860 1729290 2075148 2593935 3458580 5187870 10375740