Search a number
-
+
98106940 = 22531792003
BaseRepresentation
bin1011101100011…
…11111000111100
320211121100102101
411312033320330
5200103410230
613422434444
72300616031
oct566177074
9224540371
1098106940
1150419218
1228a32a24
131742cc59
14d05b388
15892daca
hex5d8fe3c

98106940 has 48 divisors (see below), whose sum is σ = 215470080. Its totient is φ = 37477440.

The previous prime is 98106917. The next prime is 98106941. The reversal of 98106940 is 4960189.

It is a self number, because there is not a number n which added to its sum of digits gives 98106940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98106941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47979 + ... + 49981.

It is an arithmetic number, because the mean of its divisors is an integer number (4488960).

Almost surely, 298106940 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 98106940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107735040).

98106940 is an abundant number, since it is smaller than the sum of its proper divisors (117363140).

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

98106940 is a wasteful number, since it uses less digits than its factorization.

98106940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 98106940 is about 9904.8947495670. The cubic root of 98106940 is about 461.2112689428.

The spelling of 98106940 in words is "ninety-eight million, one hundred six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 79 124 155 158 310 316 395 620 790 1580 2003 2449 4006 4898 8012 9796 10015 12245 20030 24490 40060 48980 62093 124186 158237 248372 310465 316474 620930 632948 791185 1241860 1582370 3164740 4905347 9810694 19621388 24526735 49053470 98106940