Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
9992340 = 22325431291
BaseRepresentation
bin100110000111…
…100010010100
3200210122220200
4212013202110
510024223330
6554100500
7150635121
oct46074224
920718820
109992340
115705436
12341a730
1320bb237
141481748
15d25a60
hex987894

9992340 has 72 divisors (see below), whose sum is σ = 31039008. Its totient is φ = 2600640.

The previous prime is 9992329. The next prime is 9992363. The reversal of 9992340 is 432999.

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

It is a junction number, because it is equal to n+sod(n) for n = 9992295 and 9992304.

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, 7095 + ... + 8385.

Almost surely, 29992340 is an apocalyptic number.

9992340 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 9992340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519504).

9992340 is an abundant number, since it is smaller than the sum of its proper divisors (21046668).

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

9992340 is a wasteful number, since it uses less digits than its factorization.

9992340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 9992340 is about 3161.0662758000. The cubic root of 9992340 is about 215.3884450523.

The spelling of 9992340 in words is "nine million, nine hundred ninety-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1291 1548 1935 2580 2582 3870 3873 5164 6455 7740 7746 11619 12910 15492 19365 23238 25820 38730 46476 55513 58095 77460 111026 116190 166539 222052 232380 277565 333078 499617 555130 666156 832695 999234 1110260 1665390 1998468 2498085 3330780 4996170 9992340