Search a number
-
+
2137056 = 253113197
BaseRepresentation
bin1000001001101111100000
311000120111020
420021233200
51021341211
6113445440
724110325
oct10115740
94016436
102137056
11122a669
12870880
1359a93c
143d8b4c
152c3306
hex209be0

2137056 has 48 divisors (see below), whose sum is σ = 5688144. Its totient is φ = 702464.

The previous prime is 2137049. The next prime is 2137073. The reversal of 2137056 is 6507312.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10750 + ... + 10946.

It is an arithmetic number, because the mean of its divisors is an integer number (118503).

22137056 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 2137056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844072).

2137056 is an abundant number, since it is smaller than the sum of its proper divisors (3551088).

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

2137056 is a wasteful number, since it uses less digits than its factorization.

2137056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 2137056 is about 1461.8672990391. The cubic root of 2137056 is about 128.8067535005.

The spelling of 2137056 in words is "two million, one hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 197 226 339 394 452 591 678 788 904 1182 1356 1576 1808 2364 2712 3152 3616 4728 5424 6304 9456 10848 18912 22261 44522 66783 89044 133566 178088 267132 356176 534264 712352 1068528 2137056