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20740000 = 25541761
BaseRepresentation
bin100111100011…
…1011110100000
31110000200221011
41033013132200
520302140000
62020310304
7341200321
oct117073640
943020834
1020740000
11107862a6
126b42394
1343b21b8
142a7c448
151c4a2ba
hex13c77a0

20740000 has 120 divisors (see below), whose sum is σ = 54910548. Its totient is φ = 7680000.

The previous prime is 20739947. The next prime is 20740003. The reversal of 20740000 is 4702.

It can be written as a sum of positive squares in 10 ways, for example, as 3732624 + 17007376 = 1932^2 + 4124^2 .

It is not an unprimeable number, because it can be changed into a prime (20740003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 339970 + ... + 340030.

Almost surely, 220740000 is an apocalyptic number.

20740000 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 20740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27455274).

20740000 is an abundant number, since it is smaller than the sum of its proper divisors (34170548).

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

20740000 is an equidigital number, since it uses as much as digits as its factorization.

20740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 20740000 is about 4554.1190146943. The cubic root of 20740000 is about 274.7490824203.

Adding to 20740000 its reverse (4702), we get a palindrome (20744702).

The spelling of 20740000 in words is "twenty million, seven hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 61 68 80 85 100 122 125 136 160 170 200 244 250 272 305 340 400 425 488 500 544 610 625 680 800 850 976 1000 1037 1220 1250 1360 1525 1700 1952 2000 2074 2125 2440 2500 2720 3050 3400 4000 4148 4250 4880 5000 5185 6100 6800 7625 8296 8500 9760 10000 10370 10625 12200 13600 15250 16592 17000 20000 20740 21250 24400 25925 30500 33184 34000 38125 41480 42500 48800 51850 61000 68000 76250 82960 85000 103700 122000 129625 152500 165920 170000 207400 244000 259250 305000 340000 414800 518500 610000 648125 829600 1037000 1220000 1296250 2074000 2592500 4148000 5185000 10370000 20740000