Search a number
-
+
20748000 = 2535371319
BaseRepresentation
bin100111100100…
…1011011100000
31110001002220110
41033021123200
520302414000
62020411320
7341232540
oct117113340
943032813
1020748000
1110791309
126b46b40
1343b5a30
142a81320
151c4c850
hex13c96e0

20748000 has 384 divisors, whose sum is σ = 88058880. Its totient is φ = 4147200.

The previous prime is 20747983. The next prime is 20748017. The reversal of 20748000 is 84702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20747983) and next prime (20748017).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091991 + ... + 1092009.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 220748000 is an apocalyptic number.

20748000 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 20748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

20748000 is an abundant number, since it is smaller than the sum of its proper divisors (67310880).

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

20748000 is a wasteful number, since it uses less digits than its factorization.

20748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 20748000 is about 4554.9972557621. The cubic root of 20748000 is about 274.7844040228.

The spelling of 20748000 in words is "twenty million, seven hundred forty-eight thousand".