Search a number
-
+
8802000120 = 2335112964969
BaseRepresentation
bin10000011001010001…
…11101110011111000
3211201102111221020110
420030220331303320
5121011303000440
64013225224320
7431056523634
oct101450756370
924642457213
108802000120
113807554a71
1218579320a0
13aa37464c4
145d6dd3dc4
15367b1a080
hex20ca3dcf8

8802000120 has 64 divisors (see below), whose sum is σ = 26429796000. Its totient is φ = 2345084928.

The previous prime is 8802000113. The next prime is 8802000127. The reversal of 8802000120 is 210002088.

8802000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8802000113) and next prime (8802000127).

It is a super-2 number, since 2×88020001202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8802000127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 102996 + ... + 167964.

Almost surely, 28802000120 is an apocalyptic number.

It is an amenable number.

8802000120 is an abundant number, since it is smaller than the sum of its proper divisors (17627795880).

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

8802000120 is a wasteful number, since it uses less digits than its factorization.

8802000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66112 (or 66108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8802000120 is about 93818.9752662008. The cubic root of 8802000120 is about 2064.7166345263.

It can be divided in two parts, 880 and 2000120, that added together give a triangular number (2001000 = T2000).

The spelling of 8802000120 in words is "eight billion, eight hundred two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1129 2258 3387 4516 5645 6774 9032 11290 13548 16935 22580 27096 33870 45160 64969 67740 129938 135480 194907 259876 324845 389814 519752 649690 779628 974535 1299380 1559256 1949070 2598760 3898140 7796280 73350001 146700002 220050003 293400004 366750005 440100006 586800008 733500010 880200012 1100250015 1467000020 1760400024 2200500030 2934000040 4401000060 8802000120