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10144300 = 2252611663
BaseRepresentation
bin100110101100…
…101000101100
3201002101100211
4212230220230
510044104200
61001232204
7152140135
oct46545054
921071324
1010144300
1157a9621
123492664
13214245a
1414c0c8c
15d55aba
hex9aca2c

10144300 has 36 divisors (see below), whose sum is σ = 22387456. Its totient is φ = 3988800.

The previous prime is 10144297. The next prime is 10144301. The reversal of 10144300 is 344101.

It is not an unprimeable number, because it can be changed into a prime (10144301) 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 11 ways as a sum of consecutive naturals, for example, 5269 + ... + 6931.

Almost surely, 210144300 is an apocalyptic number.

10144300 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 10144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193728).

10144300 is an abundant number, since it is smaller than the sum of its proper divisors (12243156).

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

10144300 is a wasteful number, since it uses less digits than its factorization.

10144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1731 counting only the distinct ones).

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

The square root of 10144300 is about 3185.0117739186. The cubic root of 10144300 is about 216.4748071463.

Adding to 10144300 its reverse (344101), we get a palindrome (10488401).

The spelling of 10144300 in words is "ten million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 1663 3050 3326 6100 6652 8315 16630 33260 41575 83150 101443 166300 202886 405772 507215 1014430 2028860 2536075 5072150 10144300