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1998169560 = 23355241853
BaseRepresentation
bin111011100011001…
…1010010111011000
312011020220112100000
41313012122113120
513043012411220
6530135413000
7100342106142
oct16706322730
95136815300
101998169560
11935a07402
12479224160
1325ac8616a
1414d53dc92
15ba650390
hex7719a5d8

1998169560 has 192 divisors, whose sum is σ = 6770443680. Its totient is φ = 530012160.

The previous prime is 1998169559. The next prime is 1998169577. The reversal of 1998169560 is 659618991.

1998169560 is a `hidden beast` number, since 19 + 9 + 8 + 1 + 69 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1998169497 and 1998169506.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2342094 + ... + 2342946.

Almost surely, 21998169560 is an apocalyptic number.

1998169560 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 1998169560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385221840).

1998169560 is an abundant number, since it is smaller than the sum of its proper divisors (4772274120).

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

1998169560 is a wasteful number, since it uses less digits than its factorization.

1998169560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 1998169560 is about 44700.8899240272. The cubic root of 1998169560 is about 1259.5365642603.

The spelling of 1998169560 in words is "one billion, nine hundred ninety-eight million, one hundred sixty-nine thousand, five hundred sixty".