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1998369360 = 243351371167
BaseRepresentation
bin111011100011100…
…1011001001010000
312011021021200102000
41313013023021100
513043040304420
6530143554000
7100343600511
oct16707131120
95137250360
101998369360
11936033529
124792bb900
1325b0260a0
1414d592a08
15ba68e690
hex771cb250

1998369360 has 160 divisors (see below), whose sum is σ = 7412858880. Its totient is φ = 491899392.

The previous prime is 1998369301. The next prime is 1998369377. The reversal of 1998369360 is 639638991.

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 = 1998369297 and 1998369306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7504 + ... + 63663.

It is an arithmetic number, because the mean of its divisors is an integer number (46330368).

Almost surely, 21998369360 is an apocalyptic number.

1998369360 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 1998369360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706429440).

1998369360 is an abundant number, since it is smaller than the sum of its proper divisors (5414489520).

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

1998369360 is a wasteful number, since it uses less digits than its factorization.

1998369360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71202 (or 71190 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 1998369360 is about 44703.1247229990. The cubic root of 1998369360 is about 1259.5785438505.

The spelling of 1998369360 in words is "one billion, nine hundred ninety-eight million, three hundred sixty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 71167 142334 213501 284668 355835 427002 569336 640503 711670 854004 925171 1067505 1138672 1281006 1423340 1708008 1850342 1921509 2135010 2562012 2775513 2846680 3202515 3416016 3700684 3843018 4270020 4625855 5124024 5551026 5693360 6405030 7401368 7686036 8326539 8540040 9251710 9607545 10248048 11102052 12810060 13877565 14802736 15372072 16653078 17080080 18503420 19215090 22204104 24979617 25620120 27755130 30744144 33306156 37006840 38430180 41632695 44408208 49959234 51240240 55510260 66612312 74013680 76860360 83265390 99918468 111020520 124898085 133224624 153720720 166530780 199836936 222041040 249796170 333061560 399673872 499592340 666123120 999184680 1998369360