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1998936160 = 255131756531
BaseRepresentation
bin111011100100101…
…0101100001100000
312011022100110220121
41313021111201200
513043211424120
6530204050024
7100351451134
oct16711254140
95138313817
101998936160
11936390361
12479533914
1325b194080
1414d69d3c4
15ba7525aa
hex77255860

1998936160 has 96 divisors (see below), whose sum is σ = 5385012192. Its totient is φ = 694640640.

The previous prime is 1998936119. The next prime is 1998936161. The reversal of 1998936160 is 616398991.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1998936098 and 1998936107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998936161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7095 + ... + 63625.

It is an arithmetic number, because the mean of its divisors is an integer number (56093877).

Almost surely, 21998936160 is an apocalyptic number.

1998936160 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 1998936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692506096).

1998936160 is an abundant number, since it is smaller than the sum of its proper divisors (3386076032).

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

1998936160 is a wasteful number, since it uses less digits than its factorization.

1998936160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56576 (or 56568 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 52.

The square root of 1998936160 is about 44709.4638751126. The cubic root of 1998936160 is about 1259.6976178726.

The spelling of 1998936160 in words is "one billion, nine hundred ninety-eight million, nine hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 35360 56531 113062 226124 282655 452248 565310 734903 904496 961027 1130620 1469806 1808992 1922054 2261240 2939612 3674515 3844108 4522480 4805135 5879224 7349030 7688216 9044960 9610270 11758448 12493351 14698060 15376432 19220540 23516896 24986702 29396120 30752864 38441080 49973404 58792240 62466755 76882160 99946808 117584480 124933510 153764320 199893616 249867020 399787232 499734040 999468080 1998936160