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102706989 = 37211193343
BaseRepresentation
bin1100001111100…
…10111100101101
321011021001111120
412013302330231
5202243110424
614105211153
72354665200
oct607627455
9234231446
10102706989
1152a80310
122a490ab9
1318380988
14d8d7937
15903ba79
hex61f2f2d

102706989 has 48 divisors (see below), whose sum is σ = 182983680. Its totient is φ = 50531040.

The previous prime is 102706987. The next prime is 102706991. The reversal of 102706989 is 989607201.

It is an interprime number because it is at equal distance from previous prime (102706987) and next prime (102706991).

It is not a de Polignac number, because 102706989 - 21 = 102706987 is a prime.

It is a super-2 number, since 2×1027069892 = 21097451178892242, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102706989.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102706987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29052 + ... + 32394.

It is an arithmetic number, because the mean of its divisors is an integer number (3812160).

Almost surely, 2102706989 is an apocalyptic number.

102706989 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

102706989 is a deficient number, since it is larger than the sum of its proper divisors (80276691).

102706989 is a wasteful number, since it uses less digits than its factorization.

102706989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 102706989 is about 10134.4456681162. The cubic root of 102706989 is about 468.3098931910.

The spelling of 102706989 in words is "one hundred two million, seven hundred six thousand, nine hundred eighty-nine".

Divisors: 1 3 7 11 19 21 33 49 57 77 133 147 209 231 399 539 627 931 1463 1617 2793 3343 4389 10029 10241 23401 30723 36773 63517 70203 110319 163807 190551 257411 444619 491421 698687 772233 1333857 1801877 2096061 3112333 4890809 5405631 9336999 14672427 34235663 102706989