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2076684288 = 2123723449
BaseRepresentation
bin111101111000111…
…1011000000000000
312100201122111021220
41323301323000000
513223112344123
6542022315040
7102314345100
oct17361730000
95321574256
102076684288
11976263708
1249b588a80
13271316493
14159b3b200
15c24adce3
hex7bc7b000

2076684288 has 156 divisors (see below), whose sum is σ = 6443040600. Its totient is φ = 593166336.

The previous prime is 2076684209. The next prime is 2076684289. The reversal of 2076684288 is 8824866702.

It is a self number, because there is not a number n which added to its sum of digits gives 2076684288.

It is not an unprimeable number, because it can be changed into a prime (2076684289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600388 + ... + 603836.

Almost surely, 22076684288 is an apocalyptic number.

2076684288 is a gapful number since it is divisible by the number (28) 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 2076684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221520300).

2076684288 is an abundant number, since it is smaller than the sum of its proper divisors (4366356312).

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

2076684288 is an equidigital number, since it uses as much as digits as its factorization.

2076684288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 2076684288 is about 45570.6516082445. The cubic root of 2076684288 is about 1275.8222123015.

The spelling of 2076684288 in words is "two billion, seventy-six million, six hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3449 3584 4096 4704 5376 6144 6272 6898 7168 9408 10347 10752 12288 12544 13796 14336 18816 20694 21504 24143 25088 27592 28672 37632 41388 43008 48286 50176 55184 72429 75264 82776 86016 96572 100352 110368 144858 150528 165552 169001 193144 200704 220736 289716 301056 331104 338002 386288 441472 507003 579432 602112 662208 676004 772576 882944 1014006 1158864 1324416 1352008 1545152 1765888 2028012 2317728 2648832 2704016 3090304 3531776 4056024 4635456 5297664 5408032 6180608 7063552 8112048 9270912 10595328 10816064 12361216 14127104 16224096 18541824 21190656 21632128 24722432 32448192 37083648 42381312 43264256 49444864 64896384 74167296 86528512 98889728 129792768 148334592 173057024 259585536 296669184 346114048 519171072 692228096 1038342144 2076684288