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10145300 = 22521123401
BaseRepresentation
bin100110101100…
…111000010100
3201002102201212
4212230320110
510044122200
61001240552
7152143064
oct46547024
921072655
1010145300
1157aa350
123493158
132142a49
1414c13a4
15d56035
hex9ace14

10145300 has 72 divisors (see below), whose sum is σ = 25123392. Its totient is φ = 3520000.

The previous prime is 10145299. The next prime is 10145329. The reversal of 10145300 is 354101.

It is a super-2 number, since 2×101453002 = 205854224180000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 25100 + ... + 25500.

It is an arithmetic number, because the mean of its divisors is an integer number (348936).

Almost surely, 210145300 is an apocalyptic number.

10145300 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 10145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561696).

10145300 is an abundant number, since it is smaller than the sum of its proper divisors (14978092).

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

10145300 is a wasteful number, since it uses less digits than its factorization.

10145300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10145300 is about 3185.1687553409. The cubic root of 10145300 is about 216.4819200963.

Adding to 10145300 its reverse (354101), we get a palindrome (10499401).

The spelling of 10145300 in words is "ten million, one hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 401 460 506 550 575 802 1012 1100 1150 1265 1604 2005 2300 2530 4010 4411 5060 6325 8020 8822 9223 10025 12650 17644 18446 20050 22055 25300 36892 40100 44110 46115 88220 92230 101453 110275 184460 202906 220550 230575 405812 441100 461150 507265 922300 1014530 2029060 2536325 5072650 10145300