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2097994320 = 243258335107
BaseRepresentation
bin111110100001100…
…1101101001010000
312102012202011011100
41331003031221100
513244041304240
6544103144400
7102663441342
oct17503155120
95365664140
102097994320
11987299204
124a6745100
13275867c76
1415c8c7292
15c42bce30
hex7d0cda50

2097994320 has 120 divisors (see below), whose sum is σ = 7130856096. Its totient is φ = 552708864.

The previous prime is 2097994309. The next prime is 2097994333. The reversal of 2097994320 is 234997902.

2097994320 is a `hidden beast` number, since 209 + 7 + 9 + 9 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42207 + ... + 77313.

Almost surely, 22097994320 is an apocalyptic number.

2097994320 is a gapful number since it is divisible by the number (20) 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 2097994320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565428048).

2097994320 is an abundant number, since it is smaller than the sum of its proper divisors (5032861776).

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

2097994320 is a wasteful number, since it uses less digits than its factorization.

2097994320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35209 (or 35200 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 2097994320 is about 45803.8679589399. The cubic root of 2097994320 is about 1280.1713475042.

The spelling of 2097994320 in words is "two billion, ninety-seven million, nine hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 240 249 332 360 415 498 664 720 747 830 996 1245 1328 1494 1660 1992 2490 2988 3320 3735 3984 4980 5976 6640 7470 9960 11952 14940 19920 29880 35107 59760 70214 105321 140428 175535 210642 280856 315963 351070 421284 526605 561712 631926 702140 842568 1053210 1263852 1404280 1579815 1685136 2106420 2527704 2808560 2913881 3159630 4212840 5055408 5827762 6319260 8425680 8741643 11655524 12638520 14569405 17483286 23311048 25277040 26224929 29138810 34966572 43708215 46622096 52449858 58277620 69933144 87416430 104899716 116555240 131124645 139866288 174832860 209799432 233110480 262249290 349665720 419598864 524498580 699331440 1048997160 2097994320