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276890640 = 24351388747
BaseRepresentation
bin10000100000010…
…000010000010000
3201022000111112220
4100200100100100
51031341000030
643250421040
76601350225
oct2040202020
9638014486
10276890640
11132330044
1278891780
1345499320
1428ab994c
1519496a10
hex10810410

276890640 has 80 divisors (see below), whose sum is σ = 924399168. Its totient is φ = 68156928.

The previous prime is 276890617. The next prime is 276890681. The reversal of 276890640 is 46098672.

276890640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 276890592 and 276890601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41254 + ... + 47493.

Almost surely, 2276890640 is an apocalyptic number.

276890640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

276890640 is an abundant number, since it is smaller than the sum of its proper divisors (647508528).

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

276890640 is a wasteful number, since it uses less digits than its factorization.

276890640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88776 (or 88770 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 276890640 is about 16640.0312499707. The cubic root of 276890640 is about 651.7825940313.

The spelling of 276890640 in words is "two hundred seventy-six million, eight hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 88747 177494 266241 354988 443735 532482 709976 887470 1064964 1153711 1331205 1419952 1774940 2129928 2307422 2662410 3461133 3549880 4259856 4614844 5324820 5768555 6922266 7099760 9229688 10649640 11537110 13844532 17305665 18459376 21299280 23074220 27689064 34611330 46148440 55378128 69222660 92296880 138445320 276890640