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10141690 = 2513217353
BaseRepresentation
bin100110101011…
…111111111010
3201002020210011
4212223333322
510044013230
61001212134
7152126416
oct46537772
921066704
1010141690
1157a7669
12349104a
132141200
1414bdd46
15d54e2a
hex9abffa

10141690 has 48 divisors (see below), whose sum is σ = 20989368. Its totient is φ = 3514368.

The previous prime is 10141667. The next prime is 10141727. The reversal of 10141690 is 9614101.

It can be written as a sum of positive squares in 12 ways, for example, as 10201 + 10131489 = 101^2 + 3183^2 .

It is a super-2 number, since 2×101416902 = 205707752112200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28554 + ... + 28906.

Almost surely, 210141690 is an apocalyptic number.

10141690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10141690 is an abundant number, since it is smaller than the sum of its proper divisors (10847678).

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

10141690 is a wasteful number, since it uses less digits than its factorization.

10141690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 10141690 is about 3184.6020159511. The cubic root of 10141690 is about 216.4562401445.

Adding to 10141690 its reverse (9614101), we get a palindrome (19755791).

It can be divided in two parts, 1014 and 1690, that added together give a square (2704 = 522).

The spelling of 10141690 in words is "ten million, one hundred forty-one thousand, six hundred ninety".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 169 170 221 338 353 442 706 845 1105 1690 1765 2210 2873 3530 4589 5746 6001 9178 12002 14365 22945 28730 30005 45890 59657 60010 78013 119314 156026 298285 390065 596570 780130 1014169 2028338 5070845 10141690