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20624080 = 245713631
BaseRepresentation
bin100111010101…
…1001011010000
31102210210220211
41032223023100
520234432310
62014013504
7340205341
oct116531320
942723824
1020624080
11107071a4
126aa7294
1343714c9
142a4c0c8
151c25c8a
hex13ab2d0

20624080 has 40 divisors (see below), whose sum is σ = 48639744. Its totient is φ = 8131200.

The previous prime is 20624069. The next prime is 20624113. The reversal of 20624080 is 8042602.

It is a tau number, because it is divible by the number of its divisors (40).

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, 3865 + ... + 7495.

Almost surely, 220624080 is an apocalyptic number.

20624080 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 20624080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24319872).

20624080 is an abundant number, since it is smaller than the sum of its proper divisors (28015664).

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

20624080 is a wasteful number, since it uses less digits than its factorization.

20624080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 20624080 is about 4541.3742413503. The cubic root of 20624080 is about 274.2362499674.

Adding to 20624080 its reverse (8042602), we get a palindrome (28666682).

It can be divided in two parts, 20 and 624080, that added together give a square (624100 = 7902).

The spelling of 20624080 in words is "twenty million, six hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 3631 5680 7262 14524 18155 29048 36310 58096 72620 145240 257801 290480 515602 1031204 1289005 2062408 2578010 4124816 5156020 10312040 20624080