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2080978432 = 29131753347
BaseRepresentation
bin111110000001001…
…0011011000000000
312101000201122202021
41330002103120000
513230212302212
6542254331224
7102366011341
oct17402233000
95330648667
102080978432
11978726995
124a0ab9b14
1327218abb0
1415a5380c8
15c2a5b307
hex7c093600

2080978432 has 160 divisors (see below), whose sum is σ = 4844502432. Its totient is φ = 884342784.

The previous prime is 2080978409. The next prime is 2080978453. The reversal of 2080978432 is 2348790802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5996883 + ... + 5997229.

Almost surely, 22080978432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2080978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422251216).

2080978432 is an abundant number, since it is smaller than the sum of its proper divisors (2763524000).

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

2080978432 is a wasteful number, since it uses less digits than its factorization.

2080978432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 2080978432 is about 45617.7425131933. The cubic root of 2080978432 is about 1276.7009837306.

The spelling of 2080978432 in words is "two billion, eighty million, nine hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 53 64 68 104 106 128 136 208 212 221 256 272 347 416 424 442 512 544 689 694 832 848 884 901 1088 1378 1388 1664 1696 1768 1802 2176 2756 2776 3328 3392 3536 3604 4352 4511 5512 5552 5899 6656 6784 7072 7208 8704 9022 11024 11104 11713 11798 13568 14144 14416 18044 18391 22048 22208 23426 23596 27136 28288 28832 36088 36782 44096 44416 46852 47192 56576 57664 72176 73564 76687 88192 88832 93704 94384 113152 115328 144352 147128 153374 176384 177664 187408 188768 230656 239083 288704 294256 306748 312647 352768 374816 377536 461312 478166 577408 588512 613496 625294 749632 755072 956332 1154816 1177024 1226992 1250588 1499264 1510144 1912664 2309632 2354048 2453984 2501176 2998528 3020288 3825328 4064411 4708096 4907968 5002352 5997056 7650656 8128822 9416192 9815936 10004704 15301312 16257644 19631872 20009408 30602624 32515288 39263744 40018816 61205248 65030576 80037632 122410496 130061152 160075264 260122304 520244608 1040489216 2080978432