Search a number
-
+
9940590 = 2335113347
BaseRepresentation
bin100101111010…
…111001101110
3200201000221000
4211322321232
510021044330
6553021130
7150331212
oct45727156
920630830
109940590
11567a570
1233b47a6
1320a080a
14146a942
15d15560
hex97ae6e

9940590 has 64 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 2409120.

The previous prime is 9940571. The next prime is 9940603. The reversal of 9940590 is 950499.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1297 + ... + 4643.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 29940590 is an apocalyptic number.

9940590 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 9940590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

9940590 is an abundant number, since it is smaller than the sum of its proper divisors (18986130).

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

9940590 is a wasteful number, since it uses less digits than its factorization.

9940590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9940590 is about 3152.8701210167. The cubic root of 9940590 is about 215.0159714113.

The spelling of 9940590 in words is "nine million, nine hundred forty thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 3347 6694 10041 16735 20082 30123 33470 36817 50205 60246 73634 90369 100410 110451 150615 180738 184085 220902 301230 331353 368170 451845 552255 662706 903690 994059 1104510 1656765 1988118 3313530 4970295 9940590