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10141040 = 2457213199
BaseRepresentation
bin100110101011…
…110101110000
3201002012220002
4212223311300
510044003130
61001205132
7152124500
oct46536560
921065802
1010141040
1157a7128
1234907a8
132140b20
1414bda00
15d54b45
hex9abd70

10141040 has 120 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 3193344.

The previous prime is 10141037. The next prime is 10141051. The reversal of 10141040 is 4014101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50861 + ... + 51059.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 210141040 is an apocalyptic number.

10141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3184×3185.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

10141040 is an abundant number, since it is smaller than the sum of its proper divisors (19544560).

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

10141040 is a wasteful number, since it uses less digits than its factorization.

10141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10141040 is about 3184.4999607474. The cubic root of 10141040 is about 216.4516156831.

Adding to 10141040 its reverse (4014101), we get a palindrome (14155141).

The spelling of 10141040 in words is "ten million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 199 208 245 260 280 364 392 398 455 490 520 560 637 728 784 796 910 980 995 1040 1274 1393 1456 1592 1820 1960 1990 2548 2587 2786 3184 3185 3640 3920 3980 5096 5174 5572 6370 6965 7280 7960 9751 10192 10348 11144 12740 12935 13930 15920 18109 19502 20696 22288 25480 25870 27860 36218 39004 41392 48755 50960 51740 55720 72436 78008 90545 97510 103480 111440 126763 144872 156016 181090 195020 206960 253526 289744 362180 390040 507052 633815 724360 780080 1014104 1267630 1448720 2028208 2535260 5070520 10141040