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20038720 = 265134817
BaseRepresentation
bin100110001110…
…0010001000000
31101201001221211
41030130101000
520112214340
61553255504
7332216632
oct114342100
941631854
1020038720
1110347429
126864594
1341c7c40
142938a52
151b5c5ea
hex131c440

20038720 has 56 divisors (see below), whose sum is σ = 51398424. Its totient is φ = 7397376.

The previous prime is 20038687. The next prime is 20038723. The reversal of 20038720 is 2783002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 19784704 = 504^2 + 4448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20038691 and 20038700.

It is not an unprimeable number, because it can be changed into a prime (20038723) 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, 1752 + ... + 6568.

It is an arithmetic number, because the mean of its divisors is an integer number (917829).

Almost surely, 220038720 is an apocalyptic number.

20038720 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 20038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25699212).

20038720 is an abundant number, since it is smaller than the sum of its proper divisors (31359704).

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

20038720 is a wasteful number, since it uses less digits than its factorization.

20038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 20038720 is about 4476.4628893804. The cubic root of 20038720 is about 271.6168191545.

The spelling of 20038720 in words is "twenty million, thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 4817 9634 19268 24085 38536 48170 62621 77072 96340 125242 154144 192680 250484 308288 313105 385360 500968 626210 770720 1001936 1252420 1541440 2003872 2504840 4007744 5009680 10019360 20038720