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10144461 = 31719329
BaseRepresentation
bin100110101100…
…101011001101
3201002101120210
4212230223031
510044110321
61001233033
7152140455
oct46545315
921071523
1010144461
1157a9758
123492779
132142552
1414c0d65
15d55b76
hex9acacd

10144461 has 32 divisors (see below), whose sum is σ = 15638400. Its totient is φ = 5822208.

The previous prime is 10144457. The next prime is 10144501. The reversal of 10144461 is 16444101.

It is not a de Polignac number, because 10144461 - 22 = 10144457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349795 + ... + 349823.

It is an arithmetic number, because the mean of its divisors is an integer number (488700).

Almost surely, 210144461 is an apocalyptic number.

It is an amenable number.

10144461 is a deficient number, since it is larger than the sum of its proper divisors (5493939).

10144461 is an equidigital number, since it uses as much as digits as its factorization.

10144461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10144461 is about 3185.0370484501. The cubic root of 10144461 is about 216.4759523628.

Adding to 10144461 its reverse (16444101), we get a palindrome (26588562).

The spelling of 10144461 in words is "ten million, one hundred forty-four thousand, four hundred sixty-one".

Divisors: 1 3 17 19 29 51 57 87 323 361 493 551 969 1083 1479 1653 6137 6859 9367 10469 18411 20577 28101 31407 116603 177973 198911 349809 533919 596733 3381487 10144461