Search a number
-
+
98241840 = 24325136447
BaseRepresentation
bin1011101101100…
…00110100110000
320211212012110200
411312300310300
5200122214330
613425355200
72302020234
oct566606460
9224765420
1098241840
1150500604
1228a98b00
1317479488
14d0945c4
158958a60
hex5db0d30

98241840 has 60 divisors (see below), whose sum is σ = 329931264. Its totient is φ = 26197632.

The previous prime is 98241817. The next prime is 98241841. The reversal of 98241840 is 4814289.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 98241795 and 98241804.

It is not an unprimeable number, because it can be changed into a prime (98241841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67504 + ... + 68943.

Almost surely, 298241840 is an apocalyptic number.

98241840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98241840 is an abundant number, since it is smaller than the sum of its proper divisors (231689424).

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

98241840 is a wasteful number, since it uses less digits than its factorization.

98241840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136466 (or 136457 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 98241840 is about 9911.7021747024. The cubic root of 98241840 is about 461.4225652589.

It can be divided in two parts, 9824 and 1840, that added together give a square (11664 = 1082).

The spelling of 98241840 in words is "ninety-eight million, two hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 136447 272894 409341 545788 682235 818682 1091576 1228023 1364470 1637364 2046705 2183152 2456046 2728940 3274728 4093410 4912092 5457880 6140115 6549456 8186820 9824184 10915760 12280230 16373640 19648368 24560460 32747280 49120920 98241840