Search a number
-
+
8121990 = 2352379149
BaseRepresentation
bin11110111110111010000110
3120021122021110
4132332322012
54034400430
6450025450
7126015162
oct36767206
916248243
108121990
114648198
122878286
1318b4b16
141115ca2
15aa67b0
hex7bee86

8121990 has 64 divisors (see below), whose sum is σ = 20736000. Its totient is φ = 2031744.

The previous prime is 8121983. The next prime is 8121991. The reversal of 8121990 is 991218.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8121991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54436 + ... + 54584.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 28121990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8121990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368000).

8121990 is an abundant number, since it is smaller than the sum of its proper divisors (12614010).

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

8121990 is a wasteful number, since it uses less digits than its factorization.

8121990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261.

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 8121990 is about 2849.9105249113. The cubic root of 8121990 is about 201.0114594590.

The spelling of 8121990 in words is "eight million, one hundred twenty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 79 115 138 149 158 230 237 298 345 395 447 474 690 745 790 894 1185 1490 1817 2235 2370 3427 3634 4470 5451 6854 9085 10281 10902 11771 17135 18170 20562 23542 27255 34270 35313 51405 54510 58855 70626 102810 117710 176565 270733 353130 541466 812199 1353665 1624398 2707330 4060995 8121990