Search a number
-
+
7001720000 = 26541115913
BaseRepresentation
bin1101000010101010…
…11100010011000000
3200001221222020011222
412201111130103000
5103314420020000
63114435054212
7335336431562
oct64125342300
920057866158
107001720000
112a73319960
121434a41368
13877788ab2
144a5c87332
152aea58a85
hex1a155c4c0

7001720000 has 140 divisors (see below), whose sum is σ = 18941543016. Its totient is φ = 2545920000.

The previous prime is 7001719987. The next prime is 7001720023. The reversal of 7001720000 is 271007.

It is a happy number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 432044 + ... + 447956.

Almost surely, 27001720000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7001720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9470771508).

7001720000 is an abundant number, since it is smaller than the sum of its proper divisors (11939823016).

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

7001720000 is a wasteful number, since it uses less digits than its factorization.

7001720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15956 (or 15931 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 7001720000 is about 83676.2809881032. The cubic root of 7001720000 is about 1913.0878481145.

Adding to 7001720000 its reverse (271007), we get a palindrome (7001991007).

The spelling of 7001720000 in words is "seven billion, one million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 15913 17600 20000 22000 27500 31826 40000 44000 55000 63652 79565 88000 110000 127304 159130 175043 220000 254608 318260 350086 397825 440000 509216 636520 700172 795650 875215 1018432 1273040 1400344 1591300 1750430 1989125 2546080 2800688 3182600 3500860 3978250 4376075 5092160 5601376 6365200 7001720 7956500 8752150 9945625 11202752 12730400 14003440 15913000 17504300 19891250 21880375 25460800 28006880 31826000 35008600 39782500 43760750 56013760 63652000 70017200 79565000 87521500 109401875 127304000 140034400 159130000 175043000 218803750 280068800 318260000 350086000 437607500 636520000 700172000 875215000 1400344000 1750430000 3500860000 7001720000