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1206140166 = 2337111072711
BaseRepresentation
bin100011111100100…
…0011110100000110
310010001120021021000
41013321003310012
54432232441131
6315403434130
741614010430
oct10771036406
93101507230
101206140166
1156991aa60
12297b25946
13162b6420a
14b628b650
1570d4ece6
hex47e43d06

1206140166 has 128 divisors (see below), whose sum is σ = 3374161920. Its totient is φ = 310240800.

The previous prime is 1206140149. The next prime is 1206140167. The reversal of 1206140166 is 6610416021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206140167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443551 + ... + 446261.

It is an arithmetic number, because the mean of its divisors is an integer number (26360640).

Almost surely, 21206140166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206140166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687080960).

1206140166 is an abundant number, since it is smaller than the sum of its proper divisors (2168021754).

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

1206140166 is a wasteful number, since it uses less digits than its factorization.

1206140166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1206140166 is about 34729.5287327657. The cubic root of 1206140166 is about 1064.4679588115.

Adding to 1206140166 its reverse (6610416021), we get a palindrome (7816556187).

The spelling of 1206140166 in words is "one billion, two hundred six million, one hundred forty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 107 126 154 189 198 214 231 297 321 378 462 594 642 693 749 963 1177 1386 1498 1926 2079 2247 2354 2711 2889 3531 4158 4494 5422 5778 6741 7062 8133 8239 10593 13482 16266 16478 18977 20223 21186 24399 24717 29821 31779 37954 40446 48798 49434 56931 59642 63558 73197 74151 89463 113862 146394 148302 170793 178926 208747 222453 268389 290077 341586 417494 444906 512379 536778 580154 626241 805167 870231 1024758 1252482 1610334 1740462 1878723 2030539 2610693 3190847 3757446 4061078 5221386 5636169 6091617 6381694 7832079 9572541 11272338 12183234 15664158 18274851 19145082 22335929 28717623 36549702 44671858 54824553 57435246 67007787 86152869 109649106 134015574 172305738 201023361 402046722 603070083 1206140166