Search a number
-
+
98940 = 22351797
BaseRepresentation
bin11000001001111100
312000201110
4120021330
511131230
62042020
7561312
oct301174
9160643
1098940
1168376
1249310
133605a
14280b2
151e4b0
hex1827c

98940 has 48 divisors (see below), whose sum is σ = 296352. Its totient is φ = 24576.

The previous prime is 98939. The next prime is 98947. The reversal of 98940 is 4989.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 98898 and 98907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98947) 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, 972 + ... + 1068.

It is an arithmetic number, because the mean of its divisors is an integer number (6174).

298940 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 98940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176).

98940 is an abundant number, since it is smaller than the sum of its proper divisors (197412).

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

98940 is a wasteful number, since it uses less digits than its factorization.

98940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 98940 is about 314.5472937413. The cubic root of 98940 is about 46.2513026173.

The spelling of 98940 in words is "ninety-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 97 102 170 194 204 255 291 340 388 485 510 582 970 1020 1164 1455 1649 1940 2910 3298 4947 5820 6596 8245 9894 16490 19788 24735 32980 49470 98940