Search a number
-
+
988640 = 25537167
BaseRepresentation
bin11110001010111100000
31212020011022
43301113200
5223114030
633105012
711255222
oct3612740
91766138
10988640
11615864
123b8168
13287cc3
141ba412
15147de5
hexf15e0

988640 has 48 divisors (see below), whose sum is σ = 2413152. Its totient is φ = 382464.

The previous prime is 988607. The next prime is 988643. The reversal of 988640 is 46889.

988640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 988640.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 988640.

It is not an unprimeable number, because it can be changed into a prime (988643) by changing a digit.

988640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5837 + ... + 6003.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2988640 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 988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576).

988640 is an abundant number, since it is smaller than the sum of its proper divisors (1424512).

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

988640 is a wasteful number, since it uses less digits than its factorization.

988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 988640 is about 994.3037765190. The cubic root of 988640 is about 99.6198903304.

The spelling of 988640 in words is "nine hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 167 185 296 334 370 592 668 740 835 1184 1336 1480 1670 2672 2960 3340 5344 5920 6179 6680 12358 13360 24716 26720 30895 49432 61790 98864 123580 197728 247160 494320 988640