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840440080 = 24553379523
BaseRepresentation
bin110010000110000…
…001100100010000
32011120102210001101
4302012001210100
53210123040310
6215221314144
726553423424
oct6206014420
92146383041
10840440080
113a1452087
121b5565954
13105171b2c
147d894b84
154dbb443a
hex32181910

840440080 has 80 divisors (see below), whose sum is σ = 1999961280. Its totient is φ = 328333824.

The previous prime is 840440077. The next prime is 840440131. The reversal of 840440080 is 80044048.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1606699 + ... + 1607221.

It is an arithmetic number, because the mean of its divisors is an integer number (24999516).

Almost surely, 2840440080 is an apocalyptic number.

840440080 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 840440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999980640).

840440080 is an abundant number, since it is smaller than the sum of its proper divisors (1159521200).

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

840440080 is a wasteful number, since it uses less digits than its factorization.

840440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 840440080 is about 28990.3445995387. The cubic root of 840440080 is about 943.7035421190.

It can be divided in two parts, 8404 and 40080, that added together give a palindrome (48484).

The spelling of 840440080 in words is "eight hundred forty million, four hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 379 424 523 530 758 848 1046 1060 1516 1895 2092 2120 2615 3032 3790 4184 4240 5230 6064 7580 8368 10460 15160 20087 20920 27719 30320 40174 41840 55438 80348 100435 110876 138595 160696 198217 200870 221752 277190 321392 396434 401740 443504 554380 792868 803480 991085 1108760 1585736 1606960 1982170 2217520 3171472 3964340 7928680 10505501 15857360 21011002 42022004 52527505 84044008 105055010 168088016 210110020 420220040 840440080