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5406390 = 23251143127
BaseRepresentation
bin10100100111111010110110
3101011200011200
4110213322312
52341001030
6311513330
763645033
oct24477266
911150150
105406390
1130629a0
121988846
131173a62
14a0a38a
1571bd60
hex527eb6

5406390 has 96 divisors (see below), whose sum is σ = 15814656. Its totient is φ = 1270080.

The previous prime is 5406377. The next prime is 5406397. The reversal of 5406390 is 936045.

5406390 = T108 + T109 + ... + T322.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42507 + ... + 42633.

It is an arithmetic number, because the mean of its divisors is an integer number (164736).

Almost surely, 25406390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907328).

5406390 is an abundant number, since it is smaller than the sum of its proper divisors (10408266).

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

5406390 is a wasteful number, since it uses less digits than its factorization.

5406390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5406390 is about 2325.1645103089. The cubic root of 5406390 is about 175.5102387676.

The spelling of 5406390 in words is "five million, four hundred six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 127 129 165 198 215 254 258 330 381 387 430 473 495 635 645 762 774 946 990 1143 1270 1290 1397 1419 1905 1935 2286 2365 2794 2838 3810 3870 4191 4257 4730 5461 5715 6985 7095 8382 8514 10922 11430 12573 13970 14190 16383 20955 21285 25146 27305 32766 41910 42570 49149 54610 60071 62865 81915 98298 120142 125730 163830 180213 245745 300355 360426 491490 540639 600710 901065 1081278 1802130 2703195 5406390