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2078671120 = 245173150193
BaseRepresentation
bin111101111100110…
…0000000100010000
312100212101102201021
41323321200010100
513224114433440
6542133045224
7102340261441
oct17371400420
95325342637
102078671120
119773a0419
124a0186814
13271860916
1415a0d72c8
15c275284a
hex7be60110

2078671120 has 40 divisors (see below), whose sum is σ = 4860878616. Its totient is φ = 826656768.

The previous prime is 2078671043. The next prime is 2078671129. The reversal of 2078671120 is 211768702.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 297493504 + 1781177616 = 17248^2 + 42204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2078671129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 61257 + ... + 88936.

Almost surely, 22078671120 is an apocalyptic number.

2078671120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2078671120 is an abundant number, since it is smaller than the sum of its proper divisors (2782207496).

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

2078671120 is a wasteful number, since it uses less digits than its factorization.

2078671120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150379 (or 150373 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 2078671120 is about 45592.4458655159. The cubic root of 2078671120 is about 1276.2289562718.

The spelling of 2078671120 in words is "two billion, seventy-eight million, six hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 150193 300386 600772 750965 1201544 1501930 2403088 3003860 6007720 12015440 25983389 51966778 103933556 129916945 207867112 259833890 415734224 519667780 1039335560 2078671120