Search a number
-
+
9806220 = 22325157347
BaseRepresentation
bin100101011010…
…000110001100
3200110012121100
4211122012030
510002244340
6550103100
7146231364
oct45320614
920405540
109806220
115598616
12334aa90
1320545c8
1414339a4
15cda830
hex95a18c

9806220 has 72 divisors (see below), whose sum is σ = 30021264. Its totient is φ = 2590848.

The previous prime is 9806207. The next prime is 9806227. The reversal of 9806220 is 226089.

9806220 = T123 + T124 + ... + T392.

It is not an unprimeable number, because it can be changed into a prime (9806227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28087 + ... + 28433.

It is an arithmetic number, because the mean of its divisors is an integer number (416962).

Almost surely, 29806220 is an apocalyptic number.

9806220 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9806220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010632).

9806220 is an abundant number, since it is smaller than the sum of its proper divisors (20215044).

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

9806220 is a wasteful number, since it uses less digits than its factorization.

9806220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9806220 is about 3131.4884639736. The cubic root of 9806220 is about 214.0427608381.

The spelling of 9806220 in words is "nine million, eight hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 347 471 628 694 785 942 1041 1388 1413 1570 1735 1884 2082 2355 2826 3123 3140 3470 4164 4710 5205 5652 6246 6940 7065 9420 10410 12492 14130 15615 20820 28260 31230 54479 62460 108958 163437 217916 272395 326874 490311 544790 653748 817185 980622 1089580 1634370 1961244 2451555 3268740 4903110 9806220