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2170138080 = 253511411011
BaseRepresentation
bin1000000101011001…
…1010110111100000
312121020111102210110
42001112122313200
513421023404310
6555201331320
7104530604115
oct20126326740
95536442713
102170138080
11a13a93950
12506936b40
132877a7496
1416830690c
15ca7bdd20
hex8159ade0

2170138080 has 96 divisors (see below), whose sum is σ = 7457401728. Its totient is φ = 526092800.

The previous prime is 2170138073. The next prime is 2170138081. The reversal of 2170138080 is 808310712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170138081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200226 + ... + 210785.

It is an arithmetic number, because the mean of its divisors is an integer number (77681268).

Almost surely, 22170138080 is an apocalyptic number.

2170138080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2170138080 is an abundant number, since it is smaller than the sum of its proper divisors (5287263648).

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

2170138080 is a wasteful number, since it uses less digits than its factorization.

2170138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411040 (or 411032 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 2170138080 is about 46584.7408493382. The cubic root of 2170138080 is about 1294.6800499561.

Adding to 2170138080 its reverse (808310712), we get a palindrome (2978448792).

The spelling of 2170138080 in words is "two billion, one hundred seventy million, one hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 411011 822022 1233033 1644044 2055055 2466066 3288088 4110110 4521121 4932132 6165165 6576176 8220220 9042242 9864264 12330330 13152352 13563363 16440440 18084484 19728528 22605605 24660660 27126726 32880880 36168968 39457056 45211210 49321320 54253452 65761760 67816815 72337936 90422420 98642640 108506904 135633630 144675872 180844840 197285280 217013808 271267260 361689680 434027616 542534520 723379360 1085069040 2170138080