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141682905 = 33571319607
BaseRepresentation
bin10000111000111…
…10100011011001
3100212121020102000
420130132203121
5242232323110
622020431213
73340166460
oct1034364331
9325536360
10141682905
1172a81511
123b548509
1323479350
1414b619d7
15c68a1c0
hex871e8d9

141682905 has 128 divisors (see below), whose sum is σ = 326860800. Its totient is φ = 56547072.

The previous prime is 141682897. The next prime is 141682907. The reversal of 141682905 is 509286141.

141682905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141682905 - 23 = 141682897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141682905.

It is not an unprimeable number, because it can be changed into a prime (141682907) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 233112 + ... + 233718.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 2141682905 is an apocalyptic number.

141682905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141682905 is an abundant number, since it is smaller than the sum of its proper divisors (185177895).

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

141682905 is a wasteful number, since it uses less digits than its factorization.

141682905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 141682905 is about 11903.0628411346. The cubic root of 141682905 is about 521.3217177859.

The spelling of 141682905 in words is "one hundred forty-one million, six hundred eighty-two thousand, nine hundred five".

Divisors: 1 3 5 7 9 13 15 19 21 27 35 39 45 57 63 65 91 95 105 117 133 135 171 189 195 247 273 285 315 351 399 455 513 585 607 665 741 819 855 945 1197 1235 1365 1729 1755 1821 1995 2223 2457 2565 3035 3591 3705 4095 4249 5187 5463 5985 6669 7891 8645 9105 11115 11533 12285 12747 15561 16389 17955 21245 23673 25935 27315 33345 34599 38241 39455 46683 55237 57665 63735 71019 77805 80731 81945 103797 114723 118365 149929 165711 172995 191205 213057 233415 242193 276185 311391 355095 403655 449787 497133 518985 573615 726579 749645 828555 1049503 1065285 1210965 1349361 1491399 1556955 2179737 2248935 2485665 3148509 3632895 4048083 5247515 6746805 7456995 9445527 10898685 15742545 20240415 28336581 47227635 141682905