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10144290 = 2351319372
BaseRepresentation
bin100110101100…
…101000100010
3201002101100110
4212230220202
510044104130
61001232150
7152140122
oct46545042
921071313
1010144290
1157a9612
123492656
132142450
1414c0c82
15d55ab0
hex9aca22

10144290 has 96 divisors (see below), whose sum is σ = 28365120. Its totient is φ = 2301696.

The previous prime is 10144289. The next prime is 10144297. The reversal of 10144290 is 9244101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274152 + ... + 274188.

It is an arithmetic number, because the mean of its divisors is an integer number (295470).

Almost surely, 210144290 is an apocalyptic number.

10144290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182560).

10144290 is an abundant number, since it is smaller than the sum of its proper divisors (18220830).

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

10144290 is a wasteful number, since it uses less digits than its factorization.

10144290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10144290 is about 3185.0102040653. The cubic root of 10144290 is about 216.4747360145.

Adding to 10144290 its reverse (9244101), we get a palindrome (19388391).

The spelling of 10144290 in words is "ten million, one hundred forty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 37 38 39 57 65 74 78 95 111 114 130 185 190 195 222 247 285 370 390 481 494 555 570 703 741 962 1110 1235 1369 1406 1443 1482 2109 2405 2470 2738 2886 3515 3705 4107 4218 4810 6845 7030 7215 7410 8214 9139 10545 13690 14430 17797 18278 20535 21090 26011 27417 35594 41070 45695 52022 53391 54834 78033 88985 91390 106782 130055 137085 156066 177970 260110 266955 274170 338143 390165 533910 676286 780330 1014429 1690715 2028858 3381430 5072145 10144290