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2157696 = 27321873
BaseRepresentation
bin1000001110110010000000
311001121210200
420032302000
51023021241
6114125200
724224442
oct10166200
94047720
102157696
111244122
12880800
135a7158
14402492
152c94b6
hex20ec80

2157696 has 48 divisors (see below), whose sum is σ = 6212310. Its totient is φ = 718848.

The previous prime is 2157679. The next prime is 2157709. The reversal of 2157696 is 6967512.

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 14400 = 1464^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2157696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 216 + ... + 2088.

22157696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106155).

2157696 is an abundant number, since it is smaller than the sum of its proper divisors (4054614).

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

2157696 is a wasteful number, since it uses less digits than its factorization.

2157696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1878 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2157696 is about 1468.9097998175. The cubic root of 2157696 is about 129.2201037770.

The spelling of 2157696 in words is "two million, one hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1873 3746 5619 7492 11238 14984 16857 22476 29968 33714 44952 59936 67428 89904 119872 134856 179808 239744 269712 359616 539424 719232 1078848 2157696