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10144035 = 36511223
BaseRepresentation
bin100110101100…
…100100100011
3201002101000000
4212230210203
510044102120
61001231043
7152136306
oct46544443
921071000
1010144035
1157a9400
123492483
1321422b5
1414c0b3d
15d55990
hex9ac923

10144035 has 84 divisors (see below), whose sum is σ = 20933136. Its totient is φ = 4704480.

The previous prime is 10144033. The next prime is 10144039. The reversal of 10144035 is 53044101.

It is a happy number.

It is not a de Polignac number, because 10144035 - 21 = 10144033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10143999 and 10144017.

It is not an unprimeable number, because it can be changed into a prime (10144033) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 441034 + ... + 441056.

It is an arithmetic number, because the mean of its divisors is an integer number (249204).

Almost surely, 210144035 is an apocalyptic number.

10144035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10144035 is an abundant number, since it is smaller than the sum of its proper divisors (10789101).

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

10144035 is an equidigital number, since it uses as much as digits as its factorization.

10144035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10144035 is about 3184.9701725448. The cubic root of 10144035 is about 216.4729221362.

Adding to 10144035 its reverse (53044101), we get a palindrome (63188136).

It can be divided in two parts, 101440 and 35, that added together give a triangular number (101475 = T450).

The spelling of 10144035 in words is "ten million, one hundred forty-four thousand, thirty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 81 99 115 121 135 165 207 243 253 297 345 363 405 495 605 621 729 759 891 1035 1089 1215 1265 1485 1815 1863 2277 2673 2783 3105 3267 3645 3795 4455 5445 5589 6831 8019 8349 9315 9801 11385 13365 13915 16335 16767 20493 25047 27945 29403 34155 40095 41745 49005 61479 75141 83835 88209 102465 125235 147015 184437 225423 307395 375705 441045 676269 922185 1127115 2028807 3381345 10144035