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107870049 = 3471719231
BaseRepresentation
bin1100110110111…
…11011101100001
321111222100220000
412123133131201
5210103320144
614412010213
72446610640
oct633373541
9244870800
10107870049
1155987401
1230160969
131946aa41
141047d357
15970b769
hex66df761

107870049 has 120 divisors (see below), whose sum is σ = 212433408. Its totient is φ = 53187840.

The previous prime is 107870033. The next prime is 107870107. The reversal of 107870049 is 940078701.

It is not a de Polignac number, because 107870049 - 24 = 107870033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107869995 and 107870022.

It is not an unprimeable number, because it can be changed into a prime (107870449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3479664 + ... + 3479694.

Almost surely, 2107870049 is an apocalyptic number.

107870049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

107870049 is a deficient number, since it is larger than the sum of its proper divisors (104563359).

107870049 is a wasteful number, since it uses less digits than its factorization.

107870049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 107870049 is about 10386.0506931172. The cubic root of 107870049 is about 476.0292348991.

The spelling of 107870049 in words is "one hundred seven million, eight hundred seventy thousand, forty-nine".

Divisors: 1 3 7 9 17 19 21 27 31 51 57 63 81 93 119 133 153 171 189 217 279 323 357 361 399 459 513 527 567 589 651 837 969 1071 1083 1197 1377 1539 1581 1767 1953 2261 2511 2527 2907 3213 3249 3591 3689 4123 4743 5301 5859 6137 6783 7581 8721 9639 9747 10013 10773 11067 11191 12369 14229 15903 17577 18411 20349 22743 26163 29241 30039 33201 33573 37107 42687 42959 47709 55233 61047 68229 70091 78337 90117 99603 100719 111321 128877 165699 183141 190247 204687 210273 235011 270351 298809 302157 333963 386631 497097 570741 630819 705033 811053 906471 1159893 1331729 1712223 1892457 2115099 3479679 3995187 5136669 5677371 6345297 11985561 15410007 35956683 107870049