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2072999760 = 2435133121433
BaseRepresentation
bin111101110001111…
…0111011101010000
312100110201022001220
41323203313131100
513221141443020
6541411325040
7102241131036
oct17343673520
95313638056
102072999760
11974177447
1249a2b0780
132706263a0
1415945c556
15c1ed2240
hex7b8f7750

2072999760 has 160 divisors (see below), whose sum is σ = 7144209408. Its totient is φ = 493793280.

The previous prime is 2072999741. The next prime is 2072999801. The reversal of 2072999760 is 679992702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86004 + ... + 107436.

Almost surely, 22072999760 is an apocalyptic number.

2072999760 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 2072999760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572104704).

2072999760 is an abundant number, since it is smaller than the sum of its proper divisors (5071209648).

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

2072999760 is a wasteful number, since it uses less digits than its factorization.

2072999760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21493 (or 21487 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The square root of 2072999760 is about 45530.2071157160. The cubic root of 2072999760 is about 1275.0672290579.

The spelling of 2072999760 in words is "two billion, seventy-two million, nine hundred ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 465 496 520 620 624 744 780 806 930 1040 1209 1240 1488 1560 1612 1860 2015 2418 2480 3120 3224 3720 4030 4836 6045 6448 7440 8060 9672 12090 16120 19344 21433 24180 32240 42866 48360 64299 85732 96720 107165 128598 171464 214330 257196 278629 321495 342928 428660 514392 557258 642990 664423 835887 857320 1028784 1114516 1285980 1328846 1393145 1671774 1714640 1993269 2229032 2571960 2657692 2786290 3322115 3343548 3986538 4179435 4458064 5143920 5315384 5572580 6644230 6687096 7973076 8358870 8637499 9966345 10630768 11145160 13288460 13374192 15946152 16717740 17274998 19932690 22290320 25912497 26576920 31892304 33435480 34549996 39865380 43187495 51824994 53153840 66870960 69099992 79730760 86374990 103649988 129562485 138199984 159461520 172749980 207299976 259124970 345499960 414599952 518249940 690999920 1036499880 2072999760