[go: up one dir, main page]

Search a number
-
+
108695040 = 293514153
BaseRepresentation
bin1100111101010…
…00111000000000
321120112021120020
412132220320000
5210311220130
614441413440
72456615106
oct636507000
9246467506
10108695040
11563a0213
123049a280
13196993bc
1410615c76
159820e10
hex67a8e00

108695040 has 80 divisors (see below), whose sum is σ = 347509008. Its totient is φ = 28983296.

The previous prime is 108695009. The next prime is 108695047. The reversal of 108695040 is 40596801.

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

It is a super-2 number, since 2×1086950402 = 23629223441203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 108694992 and 108695010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108695047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604 + ... + 14756.

Almost surely, 2108695040 is an apocalyptic number.

108695040 is a gapful number since it is divisible by the number (10) 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 108695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173754504).

108695040 is an abundant number, since it is smaller than the sum of its proper divisors (238813968).

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

108695040 is an equidigital number, since it uses as much as digits as its factorization.

108695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14179 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 108695040 is about 10425.6913439829. The cubic root of 108695040 is about 477.2397126782.

The spelling of 108695040 in words is "one hundred eight million, six hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 14153 28306 42459 56612 70765 84918 113224 141530 169836 212295 226448 283060 339672 424590 452896 566120 679344 849180 905792 1132240 1358688 1698360 1811584 2264480 2717376 3396720 3623168 4528960 5434752 6793440 7246336 9057920 10869504 13586880 18115840 21739008 27173760 36231680 54347520 108695040