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1390608 = 24342937
BaseRepresentation
bin101010011100000010000
32121122120000
411103200100
5323444413
645450000
714551152
oct5234020
92548500
101390608
1186a86a
12570900
13398c5b
14282ad2
151c7073
hex153810

1390608 has 100 divisors (see below), whose sum is σ = 4276140. Its totient is φ = 435456.

The previous prime is 1390607. The next prime is 1390619. The reversal of 1390608 is 8060931.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 374544 = 1008^2 + 612^2 .

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 (1390601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37566 + ... + 37602.

21390608 is an apocalyptic number.

1390608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138070).

1390608 is an abundant number, since it is smaller than the sum of its proper divisors (2885532).

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

1390608 is a wasteful number, since it uses less digits than its factorization.

1390608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1390608 is about 1179.2404334995. The cubic root of 1390608 is about 111.6181725523.

The spelling of 1390608 in words is "one million, three hundred ninety thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 37 48 54 58 72 74 81 87 108 111 116 144 148 162 174 216 222 232 261 296 324 333 348 432 444 464 522 592 648 666 696 783 888 999 1044 1073 1296 1332 1392 1566 1776 1998 2088 2146 2349 2664 2997 3132 3219 3996 4176 4292 4698 5328 5994 6264 6438 7992 8584 9396 9657 11988 12528 12876 15984 17168 18792 19314 23976 25752 28971 37584 38628 47952 51504 57942 77256 86913 115884 154512 173826 231768 347652 463536 695304 1390608