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10103424 = 27383317
BaseRepresentation
bin100110100010…
…101010000000
3201000022021220
4212202222000
510041302144
61000315040
7151610022
oct46425200
921008256
1010103424
115780941
123472a80
132129976
1414b0012
15d48919
hex9a2a80

10103424 has 64 divisors (see below), whose sum is σ = 27246240. Its totient is φ = 3316736.

The previous prime is 10103413. The next prime is 10103437. The reversal of 10103424 is 42430101.

It is a tau number, because it is divible by the number of its divisors (64).

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, 31714 + ... + 32030.

Almost surely, 210103424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623120).

10103424 is an abundant number, since it is smaller than the sum of its proper divisors (17142816).

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

10103424 is an equidigital number, since it uses as much as digits as its factorization.

10103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10103424 is about 3178.5883659260. The cubic root of 10103424 is about 216.1836572415.

Adding to 10103424 its reverse (42430101), we get a palindrome (52533525).

The spelling of 10103424 in words is "ten million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 317 332 384 498 634 664 951 996 1268 1328 1902 1992 2536 2656 3804 3984 5072 5312 7608 7968 10144 10624 15216 15936 20288 26311 30432 31872 40576 52622 60864 78933 105244 121728 157866 210488 315732 420976 631464 841952 1262928 1683904 2525856 3367808 5051712 10103424