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2076730752 = 27343173727
BaseRepresentation
bin111101111001000…
…0110010110000000
312100201201212000210
41323302012112000
513223120341002
6542023314120
7102314630415
oct17362062600
95321655023
102076730752
11976295608
1249b5ab940
13271331685
14159b5010c
15c24bc96c
hex7bc86580

2076730752 has 128 divisors (see below), whose sum is σ = 5685039360. Its totient is φ = 671311872.

The previous prime is 2076730739. The next prime is 2076730753. The reversal of 2076730752 is 2570376702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2076730752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2076730753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2856213 + ... + 2856939.

It is an arithmetic number, because the mean of its divisors is an integer number (44414370).

Almost surely, 22076730752 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 2076730752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842519680).

2076730752 is an abundant number, since it is smaller than the sum of its proper divisors (3608308608).

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

2076730752 is a wasteful number, since it uses less digits than its factorization.

2076730752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The square root of 2076730752 is about 45571.1614071882. The cubic root of 2076730752 is about 1275.8317273670.

The spelling of 2076730752 in words is "two billion, seventy-six million, seven hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 173 192 258 344 346 384 516 519 688 692 727 1032 1038 1376 1384 1454 2064 2076 2181 2752 2768 2908 4128 4152 4362 5504 5536 5816 7439 8256 8304 8724 11072 11632 14878 16512 16608 17448 22144 22317 23264 29756 31261 33216 34896 44634 46528 59512 62522 66432 69792 89268 93056 93783 119024 125044 125771 139584 178536 187566 238048 250088 251542 279168 357072 375132 377313 476096 500176 503084 714144 750264 754626 952192 1000352 1006168 1428288 1500528 1509252 2000704 2012336 2856576 3001056 3018504 4001408 4024672 5408153 6002112 6037008 8049344 10816306 12004224 12074016 16098688 16224459 21632612 24148032 32448918 43265224 48296064 64897836 86530448 129795672 173060896 259591344 346121792 519182688 692243584 1038365376 2076730752