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996680760 = 2335171273847
BaseRepresentation
bin111011011010000…
…010010000111000
32120110102121222020
4323122002100320
54020122241020
6242522154440
733461434545
oct7332022070
92513377866
10996680760
11471667009
12239952a20
1312b64743a
1496525bcc
155c777c40
hex3b682438

996680760 has 128 divisors (see below), whose sum is σ = 3191685120. Its totient is φ = 248113152.

The previous prime is 996680759. The next prime is 996680779. The reversal of 996680760 is 67086699.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 257157 + ... + 261003.

It is an arithmetic number, because the mean of its divisors is an integer number (24935040).

Almost surely, 2996680760 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 996680760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595842560).

996680760 is an abundant number, since it is smaller than the sum of its proper divisors (2195004360).

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

996680760 is a wasteful number, since it uses less digits than its factorization.

996680760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 996680760 is about 31570.2511868373. The cubic root of 996680760 is about 998.8923602538.

The spelling of 996680760 in words is "nine hundred ninety-six million, six hundred eighty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 127 136 170 204 254 255 340 381 408 508 510 635 680 762 1016 1020 1270 1524 1905 2040 2159 2540 3048 3810 3847 4318 5080 6477 7620 7694 8636 10795 11541 12954 15240 15388 17272 19235 21590 23082 25908 30776 32385 38470 43180 46164 51816 57705 64770 65399 76940 86360 92328 115410 129540 130798 153880 196197 230820 259080 261596 326995 392394 461640 488569 523192 653990 784788 977138 980985 1307980 1465707 1569576 1954276 1961970 2442845 2615960 2931414 3908552 3923940 4885690 5862828 7328535 7847880 8305673 9771380 11725656 14657070 16611346 19542760 24917019 29314140 33222692 41528365 49834038 58628280 66445384 83056730 99668076 124585095 166113460 199336152 249170190 332226920 498340380 996680760