Search a number
-
+
1014684840 = 233351372271
BaseRepresentation
bin111100011110101…
…101110010101000
32121201022022221000
4330132231302220
54034224403330
6244404115000
734100451561
oct7436556250
92551268830
101014684840
11480843814
12243995a60
131322ac240
1498a91168
155e132560
hex3c7adca8

1014684840 has 128 divisors (see below), whose sum is σ = 3642508800. Its totient is φ = 249765120.

The previous prime is 1014684823. The next prime is 1014684887. The reversal of 1014684840 is 484864101.

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 = 1014684795 and 1014684804.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22096 + ... + 50175.

It is an arithmetic number, because the mean of its divisors is an integer number (28457100).

Almost surely, 21014684840 is an apocalyptic number.

1014684840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014684840 is an abundant number, since it is smaller than the sum of its proper divisors (2627823960).

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

1014684840 is a wasteful number, since it uses less digits than its factorization.

1014684840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72304 (or 72294 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1014684840 is about 31854.1181011184. The cubic root of 1014684840 is about 1004.8711797461.

The spelling of 1014684840 in words is "one billion, fourteen million, six hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 72271 144542 216813 289084 361355 433626 578168 650439 722710 867252 939523 1084065 1300878 1445420 1734504 1879046 1951317 2168130 2601756 2818569 2890840 3252195 3758092 3902634 4336260 4697615 5203512 5637138 6504390 7516184 7805268 8455707 8672520 9395230 9756585 11274276 13008780 14092845 15610536 16911414 18790460 19513170 22548552 25367121 26017560 28185690 33822828 37580920 39026340 42278535 50734242 56371380 67645656 78052680 84557070 101468484 112742760 126835605 169114140 202936968 253671210 338228280 507342420 1014684840