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10423120 = 2451131153
BaseRepresentation
bin100111110000…
…101101010000
3201121112211111
4213300231100
510132014440
61011223104
7154411051
oct47605520
921545744
1010423120
11597a054
1235a7a94
13220c336
141554728
15dad4ea
hex9f0b50

10423120 has 40 divisors (see below), whose sum is σ = 24469416. Its totient is φ = 4128768.

The previous prime is 10423109. The next prime is 10423121. The reversal of 10423120 is 2132401.

It can be written as a sum of positive squares in 4 ways, for example, as 234256 + 10188864 = 484^2 + 3192^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 10423120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10423121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8464 + ... + 9616.

Almost surely, 210423120 is an apocalyptic number.

10423120 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 10423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234708).

10423120 is an abundant number, since it is smaller than the sum of its proper divisors (14046296).

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

10423120 is a wasteful number, since it uses less digits than its factorization.

10423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10423120 is about 3228.4857131479. The cubic root of 10423120 is about 218.4402069213.

Adding to 10423120 its reverse (2132401), we get a palindrome (12555521).

The spelling of 10423120 in words is "ten million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1153 1808 2260 2306 4520 4612 5765 9040 9224 11530 18448 23060 46120 92240 130289 260578 521156 651445 1042312 1302890 2084624 2605780 5211560 10423120