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2053936 = 243141101
BaseRepresentation
bin111110101011100110000
310212100110201
413311130300
51011211221
6112004544
723313103
oct7653460
93770421
102053936
111183175
12830754
1356bb61
143b673a
152a8891
hex1f5730

2053936 has 40 divisors (see below), whose sum is σ = 4249728. Its totient is φ = 960000.

The previous prime is 2053927. The next prime is 2053937. The reversal of 2053936 is 6393502.

It is not an unprimeable number, because it can be changed into a prime (2053937) 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, 20286 + ... + 20386.

22053936 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 2053936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124864).

2053936 is an abundant number, since it is smaller than the sum of its proper divisors (2195792).

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

2053936 is a wasteful number, since it uses less digits than its factorization.

2053936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 2053936 is about 1433.1559580171. The cubic root of 2053936 is about 127.1146586817.

It can be divided in two parts, 20 and 53936, that added together give a triangular number (53956 = T328).

The spelling of 2053936 in words is "two million, fifty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 41 62 82 101 124 164 202 248 328 404 496 656 808 1271 1616 2542 3131 4141 5084 6262 8282 10168 12524 16564 20336 25048 33128 50096 66256 128371 256742 513484 1026968 2053936