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10035144 = 233376637
BaseRepresentation
bin100110010001…
…111111001000
3200212211122000
4212101333020
510032111034
6555031000
7151203660
oct46217710
920784560
1010035144
115734609
12343b460
132104872
1414931a0
15d33599
hex991fc8

10035144 has 64 divisors (see below), whose sum is σ = 31862400. Its totient is φ = 2866752.

The previous prime is 10035143. The next prime is 10035161. The reversal of 10035144 is 44153001.

It is a happy number.

10035144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10035143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1807 + ... + 4830.

It is an arithmetic number, because the mean of its divisors is an integer number (497850).

Almost surely, 210035144 is an apocalyptic number.

10035144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10035144 is an abundant number, since it is smaller than the sum of its proper divisors (21827256).

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

10035144 is a wasteful number, since it uses less digits than its factorization.

10035144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6649 counting only the distinct ones).

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

The square root of 10035144 is about 3167.8295408686. The cubic root of 10035144 is about 215.6955587612.

Adding to 10035144 its reverse (44153001), we get a palindrome (54188145).

The spelling of 10035144 in words is "ten million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 6637 13274 19911 26548 39822 46459 53096 59733 79644 92918 119466 139377 159288 179199 185836 238932 278754 358398 371672 418131 477864 557508 716796 836262 1115016 1254393 1433592 1672524 2508786 3345048 5017572 10035144