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43140006 = 2337138779
BaseRepresentation
bin1010010010010…
…0001110100110
310000011201222000
42210210032212
542020440011
64140350130
71032453420
oct244441646
9100151860
1043140006
11223957a8
1212545346
138c25b40
145a2d810
153bc2356
hex29243a6

43140006 has 64 divisors (see below), whose sum is σ = 118003200. Its totient is φ = 11376288.

The previous prime is 43140001. The next prime is 43140011. The reversal of 43140006 is 60004134.

It is an interprime number because it is at equal distance from previous prime (43140001) and next prime (43140011).

It is a super-2 number, since 2×431400062 = 3722120235360072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525 + ... + 9303.

It is an arithmetic number, because the mean of its divisors is an integer number (1843800).

Almost surely, 243140006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43140006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59001600).

43140006 is an abundant number, since it is smaller than the sum of its proper divisors (74863194).

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

43140006 is a wasteful number, since it uses less digits than its factorization.

43140006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8810 (or 8804 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 43140006 is about 6568.1052062220. The cubic root of 43140006 is about 350.7196241509.

The spelling of 43140006 in words is "forty-three million, one hundred forty thousand, six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 8779 17558 26337 52674 61453 79011 114127 122906 158022 184359 228254 237033 342381 368718 474066 553077 684762 798889 1027143 1106154 1597778 1659231 2054286 2396667 3081429 3318462 4793334 6162858 7190001 14380002 21570003 43140006