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276066966 = 23731434931
BaseRepresentation
bin10000011101000…
…111001010010110
3201020110122200110
4100131013022112
51031133120331
643221023450
76561346650
oct2035071226
9636418613
10276066966
1113191821a
1278554b86
134526b446
14289436d0
1519382946
hex10747296

276066966 has 64 divisors (see below), whose sum is σ = 666648576. Its totient is φ = 74541600.

The previous prime is 276066937. The next prime is 276066971. The reversal of 276066966 is 669660672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53521 + ... + 58451.

It is an arithmetic number, because the mean of its divisors is an integer number (10416384).

Almost surely, 2276066966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276066966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333324288).

276066966 is an abundant number, since it is smaller than the sum of its proper divisors (390581610).

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

276066966 is a wasteful number, since it uses less digits than its factorization.

276066966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017.

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 276066966 is about 16615.2630433587. The cubic root of 276066966 is about 651.1356604121.

The spelling of 276066966 in words is "two hundred seventy-six million, sixty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 31 42 43 62 86 93 129 186 217 258 301 434 602 651 903 1302 1333 1806 2666 3999 4931 7998 9331 9862 14793 18662 27993 29586 34517 55986 69034 103551 152861 207102 212033 305722 424066 458583 636099 917166 1070027 1272198 1484231 2140054 2968462 3210081 4452693 6420162 6573023 8905386 13146046 19719069 39438138 46011161 92022322 138033483 276066966