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676538880 = 2935137643
BaseRepresentation
bin101000010100110…
…010101000000000
31202011000201212120
4220110302220000
52341143221010
6151044324240
722523325363
oct5024625000
91664021776
10676538880
11317985746
1216a6a3680
13aa216784
1465bcc0da
153e5dae70
hex28532a00

676538880 has 160 divisors (see below), whose sum is σ = 2181985344. Its totient is φ = 178814976.

The previous prime is 676538873. The next prime is 676538881. The reversal of 676538880 is 88835676.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (676538881) 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, 1051839 + ... + 1052481.

Almost surely, 2676538880 is an apocalyptic number.

676538880 is a gapful number since it is divisible by the number (60) 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 676538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090992672).

676538880 is an abundant number, since it is smaller than the sum of its proper divisors (1505446464).

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

676538880 is a wasteful number, since it uses less digits than its factorization.

676538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 676538880 is about 26010.3610124889. The cubic root of 676538880 is about 877.8714395715.

The spelling of 676538880 in words is "six hundred seventy-six million, five hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 256 274 320 384 411 480 512 548 640 643 685 768 822 960 1096 1280 1286 1370 1536 1644 1920 1929 2055 2192 2560 2572 2740 3215 3288 3840 3858 4110 4384 5144 5480 6430 6576 7680 7716 8220 8768 9645 10288 10960 12860 13152 15432 16440 17536 19290 20576 21920 25720 26304 30864 32880 35072 38580 41152 43840 51440 52608 61728 65760 70144 77160 82304 87680 88091 102880 105216 123456 131520 154320 164608 175360 176182 205760 210432 246912 263040 264273 308640 329216 350720 352364 411520 440455 493824 526080 528546 617280 704728 823040 880910 987648 1052160 1057092 1234560 1321365 1409456 1646080 1761820 2114184 2469120 2642730 2818912 3523640 4228368 4938240 5285460 5637824 7047280 8456736 10570920 11275648 14094560 16913472 21141840 22551296 28189120 33826944 42283680 45102592 56378240 67653888 84567360 112756480 135307776 169134720 225512960 338269440 676538880