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10002330 = 23251383103
BaseRepresentation
bin100110001001…
…111110011010
3200211011121200
4212021332122
510030033310
6554215030
7151006212
oct46117632
920734550
1010002330
115711998
123424476
1320c2950
141485242
15d289c0
hex989f9a

10002330 has 96 divisors (see below), whose sum is σ = 28619136. Its totient is φ = 2408832.

The previous prime is 10002323. The next prime is 10002331. The reversal of 10002330 is 3320001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10002331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 97059 + ... + 97161.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 210002330 is an apocalyptic number.

10002330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309568).

10002330 is an abundant number, since it is smaller than the sum of its proper divisors (18616806).

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

10002330 is a wasteful number, since it uses less digits than its factorization.

10002330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 10002330 is about 3162.6460440587. The cubic root of 10002330 is about 215.4602004799.

Adding to 10002330 its reverse (3320001), we get a palindrome (13322331).

The spelling of 10002330 in words is "ten million, two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 83 90 103 117 130 166 195 206 234 249 309 390 415 498 515 585 618 747 830 927 1030 1079 1170 1245 1339 1494 1545 1854 2158 2490 2678 3090 3237 3735 4017 4635 5395 6474 6695 7470 8034 8549 9270 9711 10790 12051 13390 16185 17098 19422 20085 24102 25647 32370 40170 42745 48555 51294 60255 76941 85490 97110 111137 120510 128235 153882 222274 256470 333411 384705 555685 666822 769410 1000233 1111370 1667055 2000466 3334110 5001165 10002330