Search a number
-
+
1609696 = 251117269
BaseRepresentation
bin110001000111111100000
310000210002101
412020333200
5403002241
654300144
716452664
oct6107740
93023071
101609696
119aa430
12657654
134448aa
142dc8a4
1521be31
hex188fe0

1609696 has 48 divisors (see below), whose sum is σ = 3674160. Its totient is φ = 686080.

The previous prime is 1609693. The next prime is 1609717. The reversal of 1609696 is 6969061.

It is a super-2 number, since 2×16096962 = 5182242424832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

1609696 is a modest number, since divided by 9696 gives 160 as remainder.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5850 + ... + 6118.

It is an arithmetic number, because the mean of its divisors is an integer number (76545).

21609696 is an apocalyptic number.

1609696 is a gapful number since it is divisible by the number (16) 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 1609696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837080).

1609696 is an abundant number, since it is smaller than the sum of its proper divisors (2064464).

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

1609696 is a wasteful number, since it uses less digits than its factorization.

1609696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 1609696 is about 1268.7379556079. The cubic root of 1609696 is about 117.1964945156.

The spelling of 1609696 in words is "one million, six hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 269 272 352 374 538 544 748 1076 1496 2152 2959 2992 4304 4573 5918 5984 8608 9146 11836 18292 23672 36584 47344 50303 73168 94688 100606 146336 201212 402424 804848 1609696