Search a number
-
+
1693242160 = 245173533527
BaseRepresentation
bin110010011101100…
…1101001100110000
311101000010121120121
41210323031030300
511431432222120
6440004020024
756650215031
oct14473151460
94330117517
101693242160
11799877995
123b3091614
1320ca5164c
14120c46a88
159d9bb5aa
hex64ecd330

1693242160 has 80 divisors (see below), whose sum is σ = 4181357376. Its totient is φ = 635469824.

The previous prime is 1693242127. The next prime is 1693242167. The reversal of 1693242160 is 612423961.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1693242167) 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, 478317 + ... + 481843.

Almost surely, 21693242160 is an apocalyptic number.

1693242160 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 1693242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090678688).

1693242160 is an abundant number, since it is smaller than the sum of its proper divisors (2488115216).

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

1693242160 is a wasteful number, since it uses less digits than its factorization.

1693242160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 1693242160 is about 41149.0238037308. The cubic root of 1693242160 is about 1191.8996469726.

The spelling of 1693242160 in words is "one billion, six hundred ninety-three million, two hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 353 680 706 1360 1412 1765 2824 3527 3530 5648 6001 7054 7060 12002 14108 14120 17635 24004 28216 28240 30005 35270 48008 56432 59959 60010 70540 96016 119918 120020 141080 239836 240040 282160 299795 479672 480080 599590 959344 1199180 1245031 2398360 2490062 4796720 4980124 6225155 9960248 12450310 19920496 21165527 24900620 42331054 49801240 84662108 99602480 105827635 169324216 211655270 338648432 423310540 846621080 1693242160