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2171070060 = 2235471495167
BaseRepresentation
bin1000000101100111…
…1110011001101100
312121022020210020020
42001121332121230
513421243220220
6555233322140
7104541535215
oct20131763154
95538223206
102171070060
11a14570085
12507106350
13287a42753
141684aa40c
15ca905040
hex8167e66c

2171070060 has 96 divisors (see below), whose sum is σ = 6251212800. Its totient is φ = 562722048.

The previous prime is 2171070059. The next prime is 2171070061. The reversal of 2171070060 is 600701712.

2171070060 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 (2171070059) and next prime (2171070061).

It is a self number, because there is not a number n which added to its sum of digits gives 2171070060.

It is not an unprimeable number, because it can be changed into a prime (2171070061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417597 + ... + 422763.

It is an arithmetic number, because the mean of its divisors is an integer number (65116800).

Almost surely, 22171070060 is an apocalyptic number.

2171070060 is a gapful number since it is divisible by the number (20) 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 2171070060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125606400).

2171070060 is an abundant number, since it is smaller than the sum of its proper divisors (4080142740).

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

2171070060 is a wasteful number, since it uses less digits than its factorization.

2171070060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 2171070060 is about 46594.7428365046. The cubic root of 2171070060 is about 1294.8653597045.

Adding to 2171070060 its reverse (600701712), we get a palindrome (2771771772).

The spelling of 2171070060 in words is "two billion, one hundred seventy-one million, seventy thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 149 188 235 282 298 447 470 564 596 705 745 894 940 1410 1490 1788 2235 2820 2980 4470 5167 7003 8940 10334 14006 15501 20668 21009 25835 28012 31002 35015 42018 51670 62004 70030 77505 84036 103340 105045 140060 155010 210090 242849 310020 420180 485698 728547 769883 971396 1214245 1457094 1539766 2309649 2428490 2914188 3079532 3642735 3849415 4619298 4856980 7285470 7698830 9238596 11548245 14570940 15397660 23096490 36184501 46192980 72369002 108553503 144738004 180922505 217107006 361845010 434214012 542767515 723690020 1085535030 2171070060