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880002080 = 25523237281
BaseRepresentation
bin110100011100111…
…100010000100000
32021022212201220122
4310130330100200
53300240031310
6223153255412
730543615506
oct6434742040
92238781818
10880002080
11411813651
12206864568
131104141b9
1484c32676
15523cb555
hex3473c420

880002080 has 144 divisors (see below), whose sum is σ = 2240008344. Its totient is φ = 326430720.

The previous prime is 880002061. The next prime is 880002083. The reversal of 880002080 is 80200088.

It can be written as a sum of positive squares in 4 ways, for example, as 861305104 + 18696976 = 29348^2 + 4324^2 .

It is not an unprimeable number, because it can be changed into a prime (880002083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3131540 + ... + 3131820.

Almost surely, 2880002080 is an apocalyptic number.

880002080 is a gapful number since it is divisible by the number (80) 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 880002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120004172).

880002080 is an abundant number, since it is smaller than the sum of its proper divisors (1360006264).

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

880002080 is a wasteful number, since it uses less digits than its factorization.

880002080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 880002080 is about 29664.8290067548. The cubic root of 880002080 is about 958.2847264236.

The spelling of 880002080 in words is "eight hundred eighty million, two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 37 40 46 74 80 92 115 148 160 184 185 230 281 296 368 370 460 529 562 592 736 740 851 920 1058 1124 1184 1405 1480 1702 1840 2116 2248 2645 2810 2960 3404 3680 4232 4255 4496 5290 5620 5920 6463 6808 8464 8510 8992 10397 10580 11240 12926 13616 16928 17020 19573 20794 21160 22480 25852 27232 32315 34040 39146 41588 42320 44960 51704 51985 64630 68080 78292 83176 84640 97865 103408 103970 129260 136160 148649 156584 166352 195730 206816 207940 239131 258520 297298 313168 332704 391460 415880 478262 517040 594596 626336 743245 782920 831760 956524 1034080 1189192 1195655 1486490 1565840 1663520 1913048 2378384 2391310 2972980 3131680 3826096 4756768 4782620 5500013 5945960 7652192 9565240 11000026 11891920 19130480 22000052 23783840 27500065 38260960 44000104 55000130 88000208 110000260 176000416 220000520 440001040 880002080