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2076451300 = 2252711318699
BaseRepresentation
bin111101111000100…
…0010000111100100
312100201012122200201
41323301002013210
513223032420200
6542013320244
7102312354610
oct17361020744
95321178621
102076451300
11976114660
1249b496084
13271264411
14159aba340
15c2464c6a
hex7bc421e4

2076451300 has 144 divisors (see below), whose sum is σ = 5799628800. Its totient is φ = 626256000.

The previous prime is 2076451297. The next prime is 2076451319. The reversal of 2076451300 is 31546702.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234351 + ... + 243049.

It is an arithmetic number, because the mean of its divisors is an integer number (40275200).

Almost surely, 22076451300 is an apocalyptic number.

2076451300 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 2076451300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899814400).

2076451300 is an abundant number, since it is smaller than the sum of its proper divisors (3723177500).

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

2076451300 is a wasteful number, since it uses less digits than its factorization.

2076451300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8762 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2076451300 is about 45568.0951982854. The cubic root of 2076451300 is about 1275.7744980382.

The spelling of 2076451300 in words is "two billion, seventy-six million, four hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 31 35 44 50 55 62 70 77 100 110 124 140 154 155 175 217 220 275 308 310 341 350 385 434 550 620 682 700 770 775 868 1085 1100 1364 1540 1550 1705 1925 2170 2387 3100 3410 3850 4340 4774 5425 6820 7700 8525 8699 9548 10850 11935 17050 17398 21700 23870 34100 34796 43495 47740 59675 60893 86990 95689 119350 121786 173980 191378 217475 238700 243572 269669 304465 382756 434950 478445 539338 608930 669823 869900 956890 1078676 1217860 1339646 1348345 1522325 1887683 1913780 2392225 2679292 2696690 2966359 3044650 3349115 3775366 4784450 5393380 5932718 6089300 6698230 6741725 7550732 9438415 9568900 11865436 13396460 13483450 14831795 16745575 18876830 20764513 26966900 29663590 33491150 37753660 41529026 47192075 59327180 66982300 74158975 83058052 94384150 103822565 148317950 188768300 207645130 296635900 415290260 519112825 1038225650 2076451300