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1997780120 = 235731475983
BaseRepresentation
bin111011100010011…
…1011010010011000
312011020011202010022
41313010323102120
513042412430440
6530123210012
7100335564560
oct16704732230
95136152108
101997780120
11935770856
12479076908
1325ab7ab1b
1414d47bda0
15ba5c4cb5
hex7713b498

1997780120 has 256 divisors, whose sum is σ = 5573836800. Its totient is φ = 630074880.

The previous prime is 1997780107. The next prime is 1997780171. The reversal of 1997780120 is 210877991.

It is a super-2 number, since 2×19977801202 = 7982250815734428800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24069599 + ... + 24069681.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 21997780120 is an apocalyptic number.

1997780120 is a gapful number since it is divisible by the number (10) 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 1997780120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786918400).

1997780120 is an abundant number, since it is smaller than the sum of its proper divisors (3576056680).

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

1997780120 is a wasteful number, since it uses less digits than its factorization.

1997780120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 44.

The square root of 1997780120 is about 44696.5336463579. The cubic root of 1997780120 is about 1259.4547317339.

The spelling of 1997780120 in words is "one billion, nine hundred ninety-seven million, seven hundred eighty thousand, one hundred twenty".