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2050560 = 2932589
BaseRepresentation
bin111110100101000000000
310212011211200
413310220000
51011104220
6111541200
723300211
oct7645000
93764750
102050560
111180686
1282a800
1356a465
143b5408
152a7890
hex1f4a00

2050560 has 120 divisors (see below), whose sum is σ = 7181460. Its totient is φ = 540672.

The previous prime is 2050553. The next prime is 2050567. The reversal of 2050560 is 650502.

It is an interprime number because it is at equal distance from previous prime (2050553) and next prime (2050567).

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 112896 = 1392^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22996 + ... + 23084.

22050560 is an apocalyptic number.

2050560 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 2050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590730).

2050560 is an abundant number, since it is smaller than the sum of its proper divisors (5130900).

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

2050560 is an equidigital number, since it uses as much as digits as its factorization.

2050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2050560 is about 1431.9776534569. The cubic root of 2050560 is about 127.0449754939.

The spelling of 2050560 in words is "two million, fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 89 90 96 120 128 144 160 178 180 192 240 256 267 288 320 356 360 384 445 480 512 534 576 640 712 720 768 801 890 960 1068 1152 1280 1335 1424 1440 1536 1602 1780 1920 2136 2304 2560 2670 2848 2880 3204 3560 3840 4005 4272 4608 5340 5696 5760 6408 7120 7680 8010 8544 10680 11392 11520 12816 14240 16020 17088 21360 22784 23040 25632 28480 32040 34176 42720 45568 51264 56960 64080 68352 85440 102528 113920 128160 136704 170880 205056 227840 256320 341760 410112 512640 683520 1025280 2050560