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170128413 = 32713219292
BaseRepresentation
bin10100010001111…
…11010000011101
3102212010102022100
422020333100131
5322023102123
624514235313
74134032130
oct1210772035
9385112270
10170128413
118803aaa4
1248b85b39
1329328900
1418848217
15ee08643
hexa23f41d

170128413 has 108 divisors (see below), whose sum is σ = 331537440. Its totient is φ = 82083456.

The previous prime is 170128379. The next prime is 170128421. The reversal of 170128413 is 314821071.

170128413 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 170128413 - 213 = 170120221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170128433) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5866483 + ... + 5866511.

Almost surely, 2170128413 is an apocalyptic number.

170128413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

170128413 is a deficient number, since it is larger than the sum of its proper divisors (161409027).

170128413 is a wasteful number, since it uses less digits than its factorization.

170128413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 170128413 is about 13043.3282945727. The cubic root of 170128413 is about 554.1052737336.

Adding to 170128413 its reverse (314821071), we get a palindrome (484949484).

It can be divided in two parts, 17012 and 8413, that added together give a triangular number (25425 = T225).

The spelling of 170128413 in words is "one hundred seventy million, one hundred twenty-eight thousand, four hundred thirteen".

Divisors: 1 3 7 9 13 19 21 29 39 57 63 87 91 117 133 169 171 203 247 261 273 377 399 507 551 609 741 819 841 1131 1183 1197 1521 1653 1729 1827 2223 2523 2639 3211 3393 3549 3857 4901 4959 5187 5887 7163 7569 7917 9633 10647 10933 11571 14703 15561 15979 17661 21489 22477 23751 28899 32799 34307 34713 44109 47937 50141 52983 64467 67431 76531 93119 98397 102921 111853 142129 143811 150423 202293 207727 229593 279357 308763 335559 426387 451269 623181 651833 688779 838071 994903 1006677 1279161 1454089 1869543 1955499 2700451 2984709 4362267 5866497 8101353 8954127 13086801 18903157 24304059 56709471 170128413