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20348000 = 25535087
BaseRepresentation
bin100110110011…
…1110001100000
31102021210012122
41031213301200
520202114000
62004043412
7334645421
oct115476140
942253178
1020348000
1110538832
126993568
1342a594a
1429b9648
151bbe085
hex1367c60

20348000 has 48 divisors (see below), whose sum is σ = 50004864. Its totient is φ = 8137600.

The previous prime is 20347991. The next prime is 20348017. The reversal of 20348000 is 84302.

It is a super-2 number, since 2×203480002 = 828082208000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20348000.

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, 1457 + ... + 6543.

It is an arithmetic number, because the mean of its divisors is an integer number (1041768).

Almost surely, 220348000 is an apocalyptic number.

20348000 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 20348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25002432).

20348000 is an abundant number, since it is smaller than the sum of its proper divisors (29656864).

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

20348000 is an equidigital number, since it uses as much as digits as its factorization.

20348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20348000 is about 4510.8757464599. The cubic root of 20348000 is about 273.0070798345.

The spelling of 20348000 in words is "twenty million, three hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5087 10174 20348 25435 40696 50870 81392 101740 127175 162784 203480 254350 406960 508700 635875 813920 1017400 1271750 2034800 2543500 4069600 5087000 10174000 20348000