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2176130840 = 235137952973
BaseRepresentation
bin1000000110110101…
…0001111100011000
312121122202220022112
42001231101330120
513424042141330
6555534011452
7104632543532
oct20155217430
95548686275
102176130840
11a17407344
12508946b88
13288ac50b0
14169026852
15cb0a4795
hex81b51f18

2176130840 has 64 divisors (see below), whose sum is σ = 5339779200. Its totient is φ = 793308672.

The previous prime is 2176130837. The next prime is 2176130867. The reversal of 2176130840 is 480316712.

It is a junction number, because it is equal to n+sod(n) for n = 2176130797 and 2176130806.

It is a congruent number.

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, 14594 + ... + 67566.

It is an arithmetic number, because the mean of its divisors is an integer number (83434050).

Almost surely, 22176130840 is an apocalyptic number.

2176130840 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 2176130840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669889600).

2176130840 is an abundant number, since it is smaller than the sum of its proper divisors (3163648360).

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

2176130840 is a wasteful number, since it uses less digits than its factorization.

2176130840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53076 (or 53072 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2176130840 is about 46649.0175673615. The cubic root of 2176130840 is about 1295.8706924664.

The spelling of 2176130840 in words is "two billion, one hundred seventy-six million, one hundred thirty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 260 316 395 520 632 790 1027 1580 2054 3160 4108 5135 8216 10270 20540 41080 52973 105946 211892 264865 423784 529730 688649 1059460 1377298 2118920 2754596 3443245 4184867 5509192 6886490 8369734 13772980 16739468 20924335 27545960 33478936 41848670 54403271 83697340 108806542 167394680 217613084 272016355 435226168 544032710 1088065420 2176130840