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2076805632 = 293111011217
BaseRepresentation
bin111101111001001…
…1000101000000000
312100201212122202010
41323302120220000
513223130240012
6542025052520
7102315361626
oct17362305000
95321778663
102076805632
119763368a0
1249b627140
13271359795
14159b6d516
15c24d4c3c
hex7bc98a00

2076805632 has 160 divisors (see below), whose sum is σ = 6100484544. Its totient is φ = 622592000.

The previous prime is 2076805609. The next prime is 2076805651. The reversal of 2076805632 is 2365086702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705888 + ... + 1707104.

Almost surely, 22076805632 is an apocalyptic number.

2076805632 is a gapful number since it is divisible by the number (22) 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 2076805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050242272).

2076805632 is an abundant number, since it is smaller than the sum of its proper divisors (4023678912).

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

2076805632 is a wasteful number, since it uses less digits than its factorization.

2076805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2076805632 is about 45571.9829719972. The cubic root of 2076805632 is about 1275.8470612648.

It can be divided in two parts, 207680 and 5632, that added together give a palindrome (213312).

The spelling of 2076805632 in words is "two billion, seventy-six million, eight hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 256 264 303 352 384 404 512 528 606 704 768 808 1056 1111 1212 1217 1408 1536 1616 2112 2222 2424 2434 2816 3232 3333 3651 4224 4444 4848 4868 5632 6464 6666 7302 8448 8888 9696 9736 12928 13332 13387 14604 16896 17776 19392 19472 25856 26664 26774 29208 35552 38784 38944 40161 51712 53328 53548 58416 71104 77568 77888 80322 106656 107096 116832 122917 142208 155136 155776 160644 213312 214192 233664 245834 284416 311552 321288 368751 426624 428384 467328 491668 568832 623104 642576 737502 853248 856768 934656 983336 1285152 1352087 1475004 1706496 1713536 1869312 1966672 2570304 2704174 2950008 3427072 3933344 4056261 5140608 5408348 5900016 6854144 7866688 8112522 10281216 10816696 11800032 15733376 16225044 20562432 21633392 23600064 31466752 32450088 43266784 47200128 62933504 64900176 86533568 94400256 129800352 173067136 188800512 259600704 346134272 519201408 692268544 1038402816 2076805632