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1630096 = 241317461
BaseRepresentation
bin110001101111110010000
310001211001221
412031332100
5404130341
654534424
716566316
oct6157620
93054057
101630096
11a13796
12667414
13450c70
143060b6
15222ed1
hex18df90

1630096 has 40 divisors (see below), whose sum is σ = 3609144. Its totient is φ = 706560.

The previous prime is 1630093. The next prime is 1630117. The reversal of 1630096 is 6900361.

It can be written as a sum of positive squares in 4 ways, for example, as 102400 + 1527696 = 320^2 + 1236^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1630096.

It is not an unprimeable number, because it can be changed into a prime (1630091) 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 7 ways as a sum of consecutive naturals, for example, 3306 + ... + 3766.

21630096 is an apocalyptic number.

1630096 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 1630096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804572).

1630096 is an abundant number, since it is smaller than the sum of its proper divisors (1979048).

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

1630096 is a wasteful number, since it uses less digits than its factorization.

1630096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 1630096 is about 1276.7521294284. The cubic root of 1630096 is about 117.6895025680.

The spelling of 1630096 in words is "one million, six hundred thirty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 461 884 922 1768 1844 3536 3688 5993 7376 7837 11986 15674 23972 31348 47944 62696 95888 101881 125392 203762 407524 815048 1630096