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2048960 = 26519337
BaseRepresentation
bin111110100001111000000
310212002122102
413310033000
51011031320
6111525532
723262434
oct7641700
93762572
102048960
11117a461
128298a8
13569804
143b49c4
152a7175
hex1f43c0

2048960 has 56 divisors (see below), whose sum is σ = 5151120. Its totient is φ = 774144.

The previous prime is 2048957. The next prime is 2048983. The reversal of 2048960 is 698402.

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, 5912 + ... + 6248.

22048960 is an apocalyptic number.

2048960 is a gapful number since it is divisible by the number (20) 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 2048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575560).

2048960 is an abundant number, since it is smaller than the sum of its proper divisors (3102160).

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

2048960 is a wasteful number, since it uses less digits than its factorization.

2048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2048960 is about 1431.4188764998. The cubic root of 2048960 is about 127.0119235710.

The spelling of 2048960 in words is "two million, forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 337 380 608 674 760 1216 1348 1520 1685 2696 3040 3370 5392 6080 6403 6740 10784 12806 13480 21568 25612 26960 32015 51224 53920 64030 102448 107840 128060 204896 256120 409792 512240 1024480 2048960