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9680000880 = 2435118294423
BaseRepresentation
bin10010000001111100…
…10001011101110000
3220222121121222212010
421000332101131300
5124311040012010
64240312002520
7461610435624
oct110076213560
926877558763
109680000880
114118120a30
121a61990440
13bb3609794
1467b865184
153b9c4d620
hex240f91770

9680000880 has 160 divisors (see below), whose sum is σ = 32782901760. Its totient is φ = 2343306240.

The previous prime is 9680000839. The next prime is 9680000899. The reversal of 9680000880 is 880000869.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2186349 + ... + 2190771.

It is an arithmetic number, because the mean of its divisors is an integer number (204893136).

Almost surely, 29680000880 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 9680000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391450880).

9680000880 is an abundant number, since it is smaller than the sum of its proper divisors (23102900880).

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

9680000880 is a wasteful number, since it uses less digits than its factorization.

9680000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 9680000880 is about 98386.9954821266. The cubic root of 9680000880 is about 2131.2045381152.

The spelling of 9680000880 in words is "nine billion, six hundred eighty million, eight hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 829 880 1320 1658 2487 2640 3316 4145 4423 4974 6632 8290 8846 9119 9948 12435 13264 13269 16580 17692 18238 19896 22115 24870 26538 27357 33160 35384 36476 39792 44230 45595 48653 49740 53076 54714 66320 66345 70768 72952 88460 91190 97306 99480 106152 109428 132690 136785 145904 145959 176920 182380 194612 198960 212304 218856 243265 265380 273570 291918 353840 364760 389224 437712 486530 530760 547140 583836 729520 729795 778448 973060 1061520 1094280 1167672 1459590 1946120 2188560 2335344 2919180 3666667 3892240 5838360 7333334 11000001 11676720 14666668 18333335 22000002 29333336 36666670 40333337 44000004 55000005 58666672 73333340 80666674 88000008 110000010 121000011 146666680 161333348 176000016 201666685 220000020 242000022 293333360 322666696 403333370 440000040 484000044 605000055 645333392 806666740 880000080 968000088 1210000110 1613333480 1936000176 2420000220 3226666960 4840000440 9680000880