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276367540 = 2251923103307
BaseRepresentation
bin10000011110010…
…000100010110100
3201021000220222211
4100132100202310
51031222230130
643231303204
76564041161
oct2036204264
9637026884
10276367540
11132003029
127867ab04
13453451b7
14289c1068
15193e1a2a
hex107908b4

276367540 has 96 divisors (see below), whose sum is σ = 645765120. Its totient is φ = 98879616.

The previous prime is 276367537. The next prime is 276367549. The reversal of 276367540 is 45763672.

It is a junction number, because it is equal to n+sod(n) for n = 276367493 and 276367502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276367549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900067 + ... + 900373.

It is an arithmetic number, because the mean of its divisors is an integer number (6726720).

Almost surely, 2276367540 is an apocalyptic number.

276367540 is a gapful number since it is divisible by the number (20) 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 276367540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322882560).

276367540 is an abundant number, since it is smaller than the sum of its proper divisors (369397580).

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

276367540 is a wasteful number, since it uses less digits than its factorization.

276367540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 276367540 is about 16624.3056997879. The cubic root of 276367540 is about 651.3718874724.

The spelling of 276367540 in words is "two hundred seventy-six million, three hundred sixty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 103 115 190 206 230 307 380 412 437 460 515 614 874 1030 1228 1535 1748 1957 2060 2185 2369 3070 3914 4370 4738 5833 6140 7061 7828 8740 9476 9785 11666 11845 14122 19570 23332 23690 28244 29165 31621 35305 39140 45011 47380 58330 63242 70610 90022 116660 126484 134159 141220 158105 180044 225055 268318 316210 450110 536636 600799 632420 670795 727283 900220 1201598 1341590 1454566 2403196 2683180 2909132 3003995 3636415 6007990 7272830 12015980 13818377 14545660 27636754 55273508 69091885 138183770 276367540