Search a number
-
+
9803970 = 2335113301
BaseRepresentation
bin100101011001…
…100011000010
3200110002112000
4211121203002
510002211340
6550044430
7146222001
oct45314302
920402460
109803970
115596960
123349716
132053587
141432c38
15cd9d30
hex9598c2

9803970 has 64 divisors (see below), whose sum is σ = 28529280. Its totient is φ = 2376000.

The previous prime is 9803953. The next prime is 9803987. The reversal of 9803970 is 793089.

It is an interprime number because it is at equal distance from previous prime (9803953) and next prime (9803987).

It is a super-2 number, since 2×98039702 = 192235655521800, which contains 22 as substring.

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, 1320 + ... + 4620.

It is an arithmetic number, because the mean of its divisors is an integer number (445770).

Almost surely, 29803970 is an apocalyptic number.

9803970 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 9803970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264640).

9803970 is an abundant number, since it is smaller than the sum of its proper divisors (18725310).

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

9803970 is a wasteful number, since it uses less digits than its factorization.

9803970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9803970 is about 3131.1291892862. The cubic root of 9803970 is about 214.0263891526.

It can be divided in two parts, 980 and 3970, that added together give a triangular number (4950 = T99).

The spelling of 9803970 in words is "nine million, eight hundred three thousand, nine hundred seventy".

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 3301 6602 9903 16505 19806 29709 33010 36311 49515 59418 72622 89127 99030 108933 148545 178254 181555 217866 297090 326799 363110 445635 544665 653598 891270 980397 1089330 1633995 1960794 3267990 4901985 9803970