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1998696120 = 2335171815413
BaseRepresentation
bin111011100100001…
…1010111010111000
312011021220021122020
41313020122322320
513043131233440
6530154554440
7100346431251
oct16710327270
95137807566
101998696120
11936236a83
12479438a20
1325b10ba35
1414d639b28
15ba7063d0
hex7721aeb8

1998696120 has 128 divisors (see below), whose sum is σ = 6385055040. Its totient is φ = 498769920.

The previous prime is 1998696109. The next prime is 1998696163. The reversal of 1998696120 is 216968991.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 366534 + ... + 371946.

Almost surely, 21998696120 is an apocalyptic number.

1998696120 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 1998696120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192527520).

1998696120 is an abundant number, since it is smaller than the sum of its proper divisors (4386358920).

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

1998696120 is a wasteful number, since it uses less digits than its factorization.

1998696120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The square root of 1998696120 is about 44706.7793516822. The cubic root of 1998696120 is about 1259.6471927303.

The spelling of 1998696120 in words is "one billion, nine hundred ninety-eight million, six hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 181 204 255 340 362 408 510 543 680 724 905 1020 1086 1448 1810 2040 2172 2715 3077 3620 4344 5413 5430 6154 7240 9231 10826 10860 12308 15385 16239 18462 21652 21720 24616 27065 30770 32478 36924 43304 46155 54130 61540 64956 73848 81195 92021 92310 108260 123080 129912 162390 184042 184620 216520 276063 324780 368084 369240 460105 552126 649560 736168 920210 979753 1104252 1380315 1840420 1959506 2208504 2760630 2939259 3680840 3919012 4898765 5521260 5878518 7838024 9797530 11042520 11757036 14696295 16655801 19595060 23514072 29392590 33311602 39190120 49967403 58785180 66623204 83279005 99934806 117570360 133246408 166558010 199869612 249837015 333116020 399739224 499674030 666232040 999348060 1998696120