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20148500 = 225359683
BaseRepresentation
bin100110011011…
…1000100010100
31101220122112202
41030313010110
520124223000
61555504032
7333154661
oct114670424
941818482
1020148500
1110411959
1268b8018
134235bb8
142966a68
151b7edd5
hex1337114

20148500 has 48 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 7911200.

The previous prime is 20148497. The next prime is 20148503. The reversal of 20148500 is 584102.

It is an interprime number because it is at equal distance from previous prime (20148497) and next prime (20148503).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20148503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29159 + ... + 29841.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 220148500 is an apocalyptic number.

20148500 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 20148500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

20148500 is an abundant number, since it is smaller than the sum of its proper divisors (24667180).

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

20148500 is a wasteful number, since it uses less digits than its factorization.

20148500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 20148500 is about 4488.7080546634. The cubic root of 20148500 is about 272.1119240942. Note that the first 3 decimals are identical.

The spelling of 20148500 in words is "twenty million, one hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 125 236 250 295 500 590 683 1180 1366 1475 2732 2950 3415 5900 6830 7375 13660 14750 17075 29500 34150 40297 68300 80594 85375 161188 170750 201485 341500 402970 805940 1007425 2014850 4029700 5037125 10074250 20148500