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9991140 = 2235891871
BaseRepresentation
bin100110000111…
…001111100100
3200210121021020
4212013033210
510024204030
6554051140
7150631455
oct46071744
920717236
109991140
115704545
123419ab0
1320ba823
14148112c
15d25510
hex9873e4

9991140 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2632960.

The previous prime is 9991139. The next prime is 9991141. The reversal of 9991140 is 411999.

9991140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9991139) and next prime (9991141).

It is not an unprimeable number, because it can be changed into a prime (9991141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4405 + ... + 6275.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 29991140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9991140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

9991140 is an abundant number, since it is smaller than the sum of its proper divisors (18313500).

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

9991140 is a wasteful number, since it uses less digits than its factorization.

9991140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 9991140 is about 3160.8764607305. The cubic root of 9991140 is about 215.3798225647.

The spelling of 9991140 in words is "nine million, nine hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 1871 2670 3742 5340 5613 7484 9355 11226 18710 22452 28065 37420 56130 112260 166519 333038 499557 666076 832595 999114 1665190 1998228 2497785 3330380 4995570 9991140