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2880123232 = 25759383569
BaseRepresentation
bin1010101110101011…
…0011000101100000
321102201110102022211
42223222303011200
521344302420412
61153443011504
7131241433510
oct25352630540
97381412284
102880123232
111248833238
12684669b94
1336b90173c
141d471d840
1511ccb4ca7
hexabab3160

2880123232 has 96 divisors (see below), whose sum is σ = 6618931200. Its totient is φ = 1208122368.

The previous prime is 2880123217. The next prime is 2880123247. The reversal of 2880123232 is 2323210882.

It is an interprime number because it is at equal distance from previous prime (2880123217) and next prime (2880123247).

It is a super-2 number, since 2×28801232322 = 16590219663012251648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2880123194 and 2880123203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5061444 + ... + 5062012.

It is an arithmetic number, because the mean of its divisors is an integer number (68947200).

Almost surely, 22880123232 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 2880123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309465600).

2880123232 is an abundant number, since it is smaller than the sum of its proper divisors (3738807968).

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

2880123232 is a wasteful number, since it uses less digits than its factorization.

2880123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2880123232 is about 53666.7795940841. The cubic root of 2880123232 is about 1422.7776142416. Note that the first 3 decimals are identical.

The spelling of 2880123232 in words is "two billion, eight hundred eighty million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 383 413 472 569 766 826 944 1138 1532 1652 1888 2276 2681 3064 3304 3983 4552 5362 6128 6608 7966 9104 10724 12256 13216 15932 18208 21448 22597 31864 33571 42896 45194 63728 67142 85792 90388 127456 134284 158179 180776 217927 234997 268568 316358 361552 435854 469994 537136 632716 723104 871708 939988 1074272 1265432 1525489 1743416 1879976 2530864 3050978 3486832 3759952 5061728 6101956 6973664 7519904 12203912 12857693 24407824 25715386 48815648 51430772 90003851 102861544 180007702 205723088 360015404 411446176 720030808 1440061616 2880123232