Search a number
-
+
20128704 = 263412557
BaseRepresentation
bin100110011001…
…0001111000000
31101212122101120
41030302033000
520123104304
61555232240
7333043161
oct114621700
941778346
1020128704
11103a8aa2
1268a8680
134229b9b
14295d768
151b790d9
hex13323c0

20128704 has 56 divisors (see below), whose sum is σ = 54577488. Its totient is φ = 6543360.

The previous prime is 20128699. The next prime is 20128709. The reversal of 20128704 is 40782102.

It is an interprime number because it is at equal distance from previous prime (20128699) and next prime (20128709).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20128709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6594 + ... + 9150.

It is an arithmetic number, because the mean of its divisors is an integer number (974598).

Almost surely, 220128704 is an apocalyptic number.

20128704 is a gapful number since it is divisible by the number (24) 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 20128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27288744).

20128704 is an abundant number, since it is smaller than the sum of its proper divisors (34448784).

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

20128704 is a wasteful number, since it uses less digits than its factorization.

20128704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 20128704 is about 4486.5024239378. The cubic root of 20128704 is about 272.0227777926.

The spelling of 20128704 in words is "twenty million, one hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2557 2624 3936 5114 7671 7872 10228 15342 20456 30684 40912 61368 81824 104837 122736 163648 209674 245472 314511 419348 490944 629022 838696 1258044 1677392 2516088 3354784 5032176 6709568 10064352 20128704