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10144818 = 2331743257
BaseRepresentation
bin100110101100…
…110000110010
3201002102002000
4212230300302
510044113233
61001234430
7152141505
oct46546062
921072060
1010144818
1157a9a52
123492a16
132142768
1414c113c
15d55d13
hex9acc32

10144818 has 64 divisors (see below), whose sum is σ = 24520320. Its totient is φ = 3096576.

The previous prime is 10144811. The next prime is 10144831. The reversal of 10144818 is 81844101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10144791 and 10144800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144811) 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 31 ways as a sum of consecutive naturals, for example, 39346 + ... + 39602.

It is an arithmetic number, because the mean of its divisors is an integer number (383130).

Almost surely, 210144818 is an apocalyptic number.

10144818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12260160).

10144818 is an abundant number, since it is smaller than the sum of its proper divisors (14375502).

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

10144818 is a wasteful number, since it uses less digits than its factorization.

10144818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 10144818 is about 3185.0930912612. The cubic root of 10144818 is about 216.4784917127.

Adding to 10144818 its reverse (81844101), we get a palindrome (91988919).

It can be divided in two parts, 1014 and 4818, that added together give a cube (5832 = 183).

The spelling of 10144818 in words is "ten million, one hundred forty-four thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 86 102 129 153 257 258 306 387 459 514 731 771 774 918 1161 1462 1542 2193 2313 2322 4369 4386 4626 6579 6939 8738 11051 13107 13158 13878 19737 22102 26214 33153 39321 39474 66306 78642 99459 117963 187867 198918 235926 298377 375734 563601 596754 1127202 1690803 3381606 5072409 10144818