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10144420 = 22511133547
BaseRepresentation
bin100110101100…
…101010100100
3201002101112021
4212230222210
510044110140
61001232524
7152140366
oct46545244
921071467
1010144420
1157a9720
123492744
132142520
1414c0d36
15d55b4a
hex9acaa4

10144420 has 48 divisors (see below), whose sum is σ = 25034688. Its totient is φ = 3404160.

The previous prime is 10144417. The next prime is 10144457. The reversal of 10144420 is 2444101.

It is a junction number, because it is equal to n+sod(n) for n = 10144394 and 10144403.

It is an unprimeable number.

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, 1087 + ... + 4633.

It is an arithmetic number, because the mean of its divisors is an integer number (521556).

Almost surely, 210144420 is an apocalyptic number.

10144420 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 10144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517344).

10144420 is an abundant number, since it is smaller than the sum of its proper divisors (14890268).

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

10144420 is a wasteful number, since it uses less digits than its factorization.

10144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 10144420 is about 3185.0306120978. The cubic root of 10144420 is about 216.4756607250.

Adding to 10144420 its reverse (2444101), we get a palindrome (12588521).

It can be divided in two parts, 101 and 44420, that added together give a square (44521 = 2112).

The spelling of 10144420 in words is "ten million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 3547 7094 14188 17735 35470 39017 46111 70940 78034 92222 156068 184444 195085 230555 390170 461110 507221 780340 922220 1014442 2028884 2536105 5072210 10144420