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121982760 = 2334537649
BaseRepresentation
bin1110100010101…
…00111100101000
322111112100220000
413101110330220
5222211422020
620034303000
73010556604
oct721247450
9274470800
10121982760
11629464a9
1234a27a60
131c36c563
14122b4504
15aa98090
hex7454f28

121982760 has 80 divisors (see below), whose sum is σ = 410008500. Its totient is φ = 32527872.

The previous prime is 121982753. The next prime is 121982761. The reversal of 121982760 is 67289121.

It can be written as a sum of positive squares in 2 ways, for example, as 116251524 + 5731236 = 10782^2 + 2394^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121982761) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 15585 + ... + 22064.

Almost surely, 2121982760 is an apocalyptic number.

121982760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121982760 is an abundant number, since it is smaller than the sum of its proper divisors (288025740).

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

121982760 is a wasteful number, since it uses less digits than its factorization.

121982760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37672 (or 37659 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 121982760 is about 11044.5805714839. The cubic root of 121982760 is about 495.9442033142.

The spelling of 121982760 in words is "one hundred twenty-one million, nine hundred eighty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 37649 75298 112947 150596 188245 225894 301192 338841 376490 451788 564735 677682 752980 903576 1016523 1129470 1355364 1505960 1694205 2033046 2258940 2710728 3049569 3388410 4066092 4517880 5082615 6099138 6776820 8132184 10165230 12198276 13553640 15247845 20330460 24396552 30495690 40660920 60991380 121982760