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10123320 = 2335292909
BaseRepresentation
bin100110100111…
…100000111000
3201001022120210
4212213200320
510042421240
61000551120
7152022024
oct46474070
921038523
1010123320
115794889
1234824a0
132135a3c
1414b7384
15d4e780
hex9a7838

10123320 has 64 divisors (see below), whose sum is σ = 31428000. Its totient is φ = 2605568.

The previous prime is 10123319. The next prime is 10123327. The reversal of 10123320 is 2332101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10123296 and 10123305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123327) 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 15 ways as a sum of consecutive naturals, for example, 2026 + ... + 4934.

Almost surely, 210123320 is an apocalyptic number.

10123320 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 10123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15714000).

10123320 is an abundant number, since it is smaller than the sum of its proper divisors (21304680).

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

10123320 is a wasteful number, since it uses less digits than its factorization.

10123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10123320 is about 3181.7165178564. The cubic root of 10123320 is about 216.3254695545.

Adding to 10123320 its reverse (2332101), we get a palindrome (12455421).

The spelling of 10123320 in words is "ten million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 2909 3480 5818 8727 11636 14545 17454 23272 29090 34908 43635 58180 69816 84361 87270 116360 168722 174540 253083 337444 349080 421805 506166 674888 843610 1012332 1265415 1687220 2024664 2530830 3374440 5061660 10123320