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2605056 = 214353
BaseRepresentation
bin1001111100000000000000
311220100110120
421330000000
51131330211
6131500240
731066626
oct11740000
94810416
102605056
11151a243
12a57680
1370296c
144bb516
15366d06
hex27c000

2605056 has 60 divisors (see below), whose sum is σ = 7077672. Its totient is φ = 851968.

The previous prime is 2605039. The next prime is 2605073. The reversal of 2605056 is 6505062.

2605056 = 5342 + 5352 + ... + 5422.

It is an interprime number because it is at equal distance from previous prime (2605039) and next prime (2605073).

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 3 ways as a sum of consecutive naturals, for example, 49126 + ... + 49178.

22605056 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 2605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538836).

2605056 is an abundant number, since it is smaller than the sum of its proper divisors (4472616).

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

2605056 is an frugal number, since it uses more digits than its factorization.

2605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2605056 is about 1614.0185872536. The cubic root of 2605056 is about 137.5959616626.

It can be divided in two parts, 26050 and 56, that added together give a triangular number (26106 = T228).

The spelling of 2605056 in words is "two million, six hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 2048 2544 3072 3392 4096 5088 6144 6784 8192 10176 12288 13568 16384 20352 24576 27136 40704 49152 54272 81408 108544 162816 217088 325632 434176 651264 868352 1302528 2605056