Search a number
-
+
9987390 = 2325783191
BaseRepresentation
bin100110000110…
…010100111110
3200210102010100
4212012110332
510024044030
6554021530
7150614520
oct46062476
920712110
109987390
115701746
1234178a6
1320b8bca
14147da10
15d24360
hex98653e

9987390 has 96 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 2243520.

The previous prime is 9987389. The next prime is 9987391. The reversal of 9987390 is 937899.

It is a happy number.

9987390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9987389) and next prime (9987391).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9987391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52195 + ... + 52385.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 29987390 is an apocalyptic number.

9987390 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9987390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

9987390 is an abundant number, since it is smaller than the sum of its proper divisors (20204226).

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

9987390 is a wasteful number, since it uses less digits than its factorization.

9987390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9987390 is about 3160.2832151565. The cubic root of 9987390 is about 215.3528728405.

The spelling of 9987390 in words is "nine million, nine hundred eighty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 191 210 249 315 382 415 498 573 581 630 747 830 955 1146 1162 1245 1337 1494 1719 1743 1910 2490 2674 2865 2905 3438 3486 3735 4011 5229 5730 5810 6685 7470 8022 8595 8715 10458 12033 13370 15853 17190 17430 20055 24066 26145 31706 40110 47559 52290 60165 79265 95118 110971 120330 142677 158530 221942 237795 285354 332913 475590 554855 665826 713385 998739 1109710 1426770 1664565 1997478 3329130 4993695 9987390