Search a number
-
+
8740225840 = 245374172019
BaseRepresentation
bin10000010001111010…
…10100001100110000
3211120010021110212011
420020331110030300
5120344444211330
64003141212304
7426406456663
oct101075241460
924503243764
108740225840
1137856a2045
12183b101094
13a939c7a88
145ccb136da
153624b682a
hex208f54330

8740225840 has 80 divisors (see below), whose sum is σ = 21379569120. Its totient is φ = 3318589440.

The previous prime is 8740225831. The next prime is 8740225843. The reversal of 8740225840 is 485220478.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8740225793 and 8740225802.

It is not an unprimeable number, because it can be changed into a prime (8740225843) 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 15 ways as a sum of consecutive naturals, for example, 85351 + ... + 157369.

It is an arithmetic number, because the mean of its divisors is an integer number (267244614).

Almost surely, 28740225840 is an apocalyptic number.

8740225840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8740225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10689784560).

8740225840 is an abundant number, since it is smaller than the sum of its proper divisors (12639343280).

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

8740225840 is a wasteful number, since it uses less digits than its factorization.

8740225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72110 (or 72104 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 8740225840 is about 93489.1749883376. The cubic root of 8740225840 is about 2059.8750858997.

The spelling of 8740225840 in words is "eight billion, seven hundred forty million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 41 74 80 82 148 164 185 205 296 328 370 410 592 656 740 820 1480 1517 1640 2960 3034 3280 6068 7585 12136 15170 24272 30340 60680 72019 121360 144038 288076 360095 576152 720190 1152304 1440380 2664703 2880760 2952779 5329406 5761520 5905558 10658812 11811116 13323515 14763895 21317624 23622232 26647030 29527790 42635248 47244464 53294060 59055580 106588120 109252823 118111160 213176240 218505646 236222320 437011292 546264115 874022584 1092528230 1748045168 2185056460 4370112920 8740225840