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4119885 = 3257112941
BaseRepresentation
bin1111101101110101001101
321202022102100
433231311031
52023314020
6224145313
750006220
oct17556515
97668370
104119885
112364370
121468239
13b13303
147935b7
15565a90
hex3edd4d

4119885 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1612800.

The previous prime is 4119883. The next prime is 4119887. The reversal of 4119885 is 5889114.

4119885 = T150 + T151 + ... + T303.

4119885 is a nontrivial binomial coefficient, being equal to C(2871, 2).

It is an interprime number because it is at equal distance from previous prime (4119883) and next prime (4119887).

It is not a de Polignac number, because 4119885 - 21 = 4119883 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (11520) is a multiple of the sum of its prime divisors (96).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4119883) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100465 + ... + 100505.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 24119885 is an apocalyptic number.

4119885 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4119885 is the 2870-th triangular number.

It is an amenable number.

4119885 is an abundant number, since it is smaller than the sum of its proper divisors (5314995).

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

4119885 is a wasteful number, since it uses less digits than its factorization.

4119885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 4119885 is about 2029.7499846040. The cubic root of 4119885 is about 160.3104000386.

It can be divided in two parts, 411 and 9885, that added together give a triangular number (10296 = T143).

The spelling of 4119885 in words is "four million, one hundred nineteen thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 29 33 35 41 45 55 63 77 87 99 105 123 145 165 203 205 231 261 287 315 319 369 385 435 451 495 609 615 693 861 957 1015 1155 1189 1305 1353 1435 1595 1827 1845 2233 2255 2583 2871 3045 3157 3465 3567 4059 4305 4785 5945 6699 6765 8323 9135 9471 10701 11165 12915 13079 14355 15785 17835 20097 20295 24969 28413 33495 39237 41615 47355 53505 65395 74907 91553 100485 117711 124845 142065 196185 274659 374535 457765 588555 823977 1373295 4119885