Search a number
-
+
9973080 = 23325132131
BaseRepresentation
bin100110000010…
…110101011000
3200202200111100
4212002311120
510023114310
6553431400
7150525015
oct46026530
920680440
109973080
1156a1a17
12340b560
1320b2540
14147870c
15d1eec0
hex982d58

9973080 has 96 divisors (see below), whose sum is σ = 34922160. Its totient is φ = 2453760.

The previous prime is 9973079. The next prime is 9973109. The reversal of 9973080 is 803799.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3615 + ... + 5745.

Almost surely, 29973080 is an apocalyptic number.

9973080 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 9973080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17461080).

9973080 is an abundant number, since it is smaller than the sum of its proper divisors (24949080).

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

9973080 is a wasteful number, since it uses less digits than its factorization.

9973080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2154 counting only the distinct ones).

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

The square root of 9973080 is about 3158.0183660011. The cubic root of 9973080 is about 215.2499706605.

The spelling of 9973080 in words is "nine million, nine hundred seventy-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2131 2340 4262 4680 6393 8524 10655 12786 17048 19179 21310 25572 27703 31965 38358 42620 51144 55406 63930 76716 83109 85240 95895 110812 127860 138515 153432 166218 191790 221624 249327 255720 277030 332436 383580 415545 498654 554060 664872 767160 831090 997308 1108120 1246635 1662180 1994616 2493270 3324360 4986540 9973080