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10423760 = 245294493
BaseRepresentation
bin100111110000…
…110111010000
3201121120201012
4213300313100
510132030020
61011230052
7154412654
oct47606720
921546635
1010423760
11597a586
1235a8328
13220c709
141554a64
15dad7c5
hex9f0dd0

10423760 has 40 divisors (see below), whose sum is σ = 25076520. Its totient is φ = 4024832.

The previous prime is 10423753. The next prime is 10423823. The reversal of 10423760 is 6732401.

10423760 = T278 + T279 + ... + T437.

10423760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4293184 + 6130576 = 2072^2 + 2476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74 + ... + 4566.

It is an arithmetic number, because the mean of its divisors is an integer number (626913).

Almost surely, 210423760 is an apocalyptic number.

10423760 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 10423760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12538260).

10423760 is an abundant number, since it is smaller than the sum of its proper divisors (14652760).

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

10423760 is a wasteful number, since it uses less digits than its factorization.

10423760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 10423760 is about 3228.5848293022. The cubic root of 10423760 is about 218.4446777154. Note that the first 3 decimals are identical.

The spelling of 10423760 in words is "ten million, four hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 4493 8986 17972 22465 35944 44930 71888 89860 130297 179720 260594 359440 521188 651485 1042376 1302970 2084752 2605940 5211880 10423760