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10103920 = 245532383
BaseRepresentation
bin100110100010…
…110001110000
3201000022222021
4212202301300
510041311140
61000321224
7151611331
oct46426160
921008867
1010103920
115781252
123473214
132129c68
1414b0288
15d48b4a
hex9a2c70

10103920 has 40 divisors (see below), whose sum is σ = 23944896. Its totient is φ = 3963648.

The previous prime is 10103893. The next prime is 10103921. The reversal of 10103920 is 2930101.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10103894 and 10103903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3049 + ... + 5431.

Almost surely, 210103920 is an apocalyptic number.

10103920 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 10103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11972448).

10103920 is an abundant number, since it is smaller than the sum of its proper divisors (13840976).

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

10103920 is a wasteful number, since it uses less digits than its factorization.

10103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10103920 is about 3178.6663870246. Note that the first 3 decimals coincide. The cubic root of 10103920 is about 216.1871948323.

The spelling of 10103920 in words is "ten million, one hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 2383 4240 4766 9532 11915 19064 23830 38128 47660 95320 126299 190640 252598 505196 631495 1010392 1262990 2020784 2525980 5051960 10103920