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39940164 = 223211253173
BaseRepresentation
bin1001100001011…
…1000001000100
32210011011121100
42120113001010
540211041124
63544020100
7663325425
oct230270104
983134540
1039940164
11205aa700
1211461630
138375544
14543964c
15378e1c9
hex2617044

39940164 has 108 divisors (see below), whose sum is σ = 113719788. Its totient is φ = 11806080.

The previous prime is 39940151. The next prime is 39940171. The reversal of 39940164 is 46104993.

It can be written as a sum of positive squares in 2 ways, for example, as 32970564 + 6969600 = 5742^2 + 2640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230782 + ... + 230954.

It is an arithmetic number, because the mean of its divisors is an integer number (1052961).

Almost surely, 239940164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39940164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56859894).

39940164 is an abundant number, since it is smaller than the sum of its proper divisors (73779624).

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

39940164 is a wasteful number, since it uses less digits than its factorization.

39940164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 39940164 is about 6319.8230987900. The cubic root of 39940164 is about 341.8245740313.

It can be divided in two parts, 39940 and 164, that added together give a palindrome (40104).

The spelling of 39940164 in words is "thirty-nine million, nine hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 121 132 159 173 198 212 242 318 346 363 396 477 484 519 583 636 692 726 954 1038 1089 1166 1452 1557 1749 1903 1908 2076 2178 2332 3114 3498 3806 4356 5247 5709 6228 6413 6996 7612 9169 10494 11418 12826 17127 18338 19239 20933 20988 22836 25652 27507 34254 36676 38478 41866 55014 57717 62799 68508 76956 82521 83732 100859 110028 115434 125598 165042 188397 201718 230868 251196 302577 330084 376794 403436 605154 753588 907731 1109449 1210308 1815462 2218898 3328347 3630924 4437796 6656694 9985041 13313388 19970082 39940164