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6642405 = 35571171
BaseRepresentation
bin11001010101101011100101
3110111110200000
4121111223211
53200024110
6354211513
7110313420
oct31255345
913443600
106642405
1138275a0
122283b99
1314b7523
14c4c9b7
158b31c0
hex655ae5

6642405 has 96 divisors (see below), whose sum is σ = 15095808. Its totient is φ = 2721600.

The previous prime is 6642403. The next prime is 6642409. The reversal of 6642405 is 5042466.

It is a happy number.

It is not a de Polignac number, because 6642405 - 21 = 6642403 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93520 + ... + 93590.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 26642405 is an apocalyptic number.

It is an amenable number.

6642405 is an abundant number, since it is smaller than the sum of its proper divisors (8453403).

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

6642405 is a wasteful number, since it uses less digits than its factorization.

6642405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6642405 is about 2577.2863636003. The cubic root of 6642405 is about 187.9786172300.

It can be divided in two parts, 6 and 642405, that added together give a triangular number (642411 = T1133).

The spelling of 6642405 in words is "six million, six hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 71 77 81 99 105 135 165 189 213 231 243 297 315 355 385 405 495 497 567 639 693 781 891 945 1065 1155 1215 1485 1491 1701 1917 2079 2343 2485 2673 2835 3195 3465 3905 4455 4473 5467 5751 6237 7029 7455 8505 9585 10395 11715 13365 13419 16401 17253 18711 21087 22365 27335 28755 31185 35145 40257 49203 63261 67095 82005 86265 93555 105435 120771 147609 189783 201285 246015 316305 442827 603855 738045 948915 1328481 2214135 6642405