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996873760 = 25519476977
BaseRepresentation
bin111011011010110…
…001011000100000
32120110210102201101
4323122301120200
54020144430020
6242530244144
733463200331
oct7332613040
92513712641
10996873760
11471789013
12239a26654
1312b6b423c
1496576288
155c7b500a
hex3b6b1620

996873760 has 96 divisors (see below), whose sum is σ = 2532176640. Its totient is φ = 369672192.

The previous prime is 996873707. The next prime is 996873769. The reversal of 996873760 is 67378699.

It is not an unprimeable number, because it can be changed into a prime (996873769) 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, 139392 + ... + 146368.

It is an arithmetic number, because the mean of its divisors is an integer number (26376840).

Almost surely, 2996873760 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 996873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266088320).

996873760 is an abundant number, since it is smaller than the sum of its proper divisors (1535302880).

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

996873760 is a wasteful number, since it uses less digits than its factorization.

996873760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 55.

The square root of 996873760 is about 31573.3077139536. The cubic root of 996873760 is about 998.9568321793.

The spelling of 996873760 in words is "nine hundred ninety-six million, eight hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 76 80 94 95 152 160 188 190 235 304 376 380 470 608 752 760 893 940 1504 1520 1786 1880 3040 3572 3760 4465 6977 7144 7520 8930 13954 14288 17860 27908 28576 34885 35720 55816 69770 71440 111632 132563 139540 142880 223264 265126 279080 327919 530252 558160 655838 662815 1060504 1116320 1311676 1325630 1639595 2121008 2623352 2651260 3279190 4242016 5246704 5302520 6230461 6558380 10493408 10605040 12460922 13116760 21210080 24921844 26233520 31152305 49843688 52467040 62304610 99687376 124609220 199374752 249218440 498436880 996873760