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2077790840 = 235291999001
BaseRepresentation
bin111101111011000…
…1001001001111000
312100210201201012022
41323312021021320
513223403301330
6542102134012
7102326634146
oct17366111170
95323651168
102077790840
1197694a014
1249ba21308
13271613048
14159d48596
15c262bae5
hex7bd89278

2077790840 has 64 divisors (see below), whose sum is σ = 4861080000. Its totient is φ = 798336000.

The previous prime is 2077790839. The next prime is 2077790849. The reversal of 2077790840 is 480977702.

It is a junction number, because it is equal to n+sod(n) for n = 2077790791 and 2077790800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077790849) 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, 226340 + ... + 235340.

It is an arithmetic number, because the mean of its divisors is an integer number (75954375).

Almost surely, 22077790840 is an apocalyptic number.

2077790840 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 2077790840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430540000).

2077790840 is an abundant number, since it is smaller than the sum of its proper divisors (2783289160).

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

2077790840 is a wasteful number, since it uses less digits than its factorization.

2077790840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The square root of 2077790840 is about 45582.7910510096. The cubic root of 2077790840 is about 1276.0487774647.

The spelling of 2077790840 in words is "two billion, seventy-seven million, seven hundred ninety thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 199 232 290 398 580 796 995 1160 1592 1990 3980 5771 7960 9001 11542 18002 23084 28855 36004 45005 46168 57710 72008 90010 115420 180020 230840 261029 360040 522058 1044116 1305145 1791199 2088232 2610290 3582398 5220580 7164796 8955995 10441160 14329592 17911990 35823980 51944771 71647960 103889542 207779084 259723855 415558168 519447710 1038895420 2077790840