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1690480 = 2451117113
BaseRepresentation
bin110011100101101110000
310011212220101
412130231300
5413043410
6100122144
720240341
oct6345560
93155811
101690480
11a550a0
12696354
134725ac
143200c8
15235d3a
hex19cb70

1690480 has 80 divisors (see below), whose sum is σ = 4580064. Its totient is φ = 573440.

The previous prime is 1690441. The next prime is 1690483. The reversal of 1690480 is 840961.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14904 + ... + 15016.

21690480 is an apocalyptic number.

1690480 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 1690480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290032).

1690480 is an abundant number, since it is smaller than the sum of its proper divisors (2889584).

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

1690480 is a wasteful number, since it uses less digits than its factorization.

1690480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1690480 is about 1300.1846022777. The cubic root of 1690480 is about 119.1251185023.

The spelling of 1690480 in words is "one million, six hundred ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 113 136 170 176 187 220 226 272 340 374 440 452 565 680 748 880 904 935 1130 1243 1360 1496 1808 1870 1921 2260 2486 2992 3740 3842 4520 4972 6215 7480 7684 9040 9605 9944 12430 14960 15368 19210 19888 21131 24860 30736 38420 42262 49720 76840 84524 99440 105655 153680 169048 211310 338096 422620 845240 1690480