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1690080 = 25357503
BaseRepresentation
bin110011100100111100000
310011212100120
412130213200
5413040310
6100120240
720236230
oct6344740
93155316
101690080
11a54867
12696080
13472362
1431dcc0
15235b70
hex19c9e0

1690080 has 96 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 385536.

The previous prime is 1690079. The next prime is 1690081. The reversal of 1690080 is 800961.

It is an interprime number because it is at equal distance from previous prime (1690079) and next prime (1690081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1690080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3109 + ... + 3611.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

21690080 is an apocalyptic number.

1690080 is a gapful number since it is divisible by the number (10) 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 1690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

1690080 is an abundant number, since it is smaller than the sum of its proper divisors (4406304).

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

1690080 is a wasteful number, since it uses less digits than its factorization.

1690080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1690080 is about 1300.0307688666. The cubic root of 1690080 is about 119.1157219984.

The spelling of 1690080 in words is "one million, six hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 503 560 672 840 1006 1120 1509 1680 2012 2515 3018 3360 3521 4024 5030 6036 7042 7545 8048 10060 10563 12072 14084 15090 16096 17605 20120 21126 24144 28168 30180 35210 40240 42252 48288 52815 56336 60360 70420 80480 84504 105630 112672 120720 140840 169008 211260 241440 281680 338016 422520 563360 845040 1690080