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10145044 = 2271347593
BaseRepresentation
bin100110101100…
…110100010100
3201002102101101
4212230310110
510044120134
61001235444
7152142250
oct46546424
921072341
1010145044
1157aa138
123492b84
1321428b0
1414c1260
15d55e14
hex9acd14

10145044 has 48 divisors (see below), whose sum is σ = 22353408. Its totient is φ = 3921408.

The previous prime is 10145017. The next prime is 10145059. The reversal of 10145044 is 44054101.

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 15 ways as a sum of consecutive naturals, for example, 16812 + ... + 17404.

It is an arithmetic number, because the mean of its divisors is an integer number (465696).

Almost surely, 210145044 is an apocalyptic number.

10145044 is a gapful number since it is divisible by the number (14) 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 10145044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176704).

10145044 is an abundant number, since it is smaller than the sum of its proper divisors (12208364).

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

10145044 is a wasteful number, since it uses less digits than its factorization.

10145044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 10145044 is about 3185.1285688336. The cubic root of 10145044 is about 216.4800992256.

Adding to 10145044 its reverse (44054101), we get a palindrome (54199145).

The spelling of 10145044 in words is "ten million, one hundred forty-five thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 593 611 658 1186 1222 1316 2372 2444 4151 4277 7709 8302 8554 15418 16604 17108 27871 30836 53963 55742 107926 111484 195097 215852 362323 390194 724646 780388 1449292 2536261 5072522 10145044