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20703072 = 2531353313
BaseRepresentation
bin100111011111…
…0011101100000
31102221211021110
41032332131200
520244444242
62015423320
7340654545
oct116763540
942854243
1020703072
1110760585
126b24b40
13439b450
142a6cbcc
151c3e39c
hex13be760

20703072 has 96 divisors (see below), whose sum is σ = 59820768. Its totient is φ = 6230016.

The previous prime is 20703031. The next prime is 20703079. The reversal of 20703072 is 27030702.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20703079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65988 + ... + 66300.

It is an arithmetic number, because the mean of its divisors is an integer number (623133).

Almost surely, 220703072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20703072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29910384).

20703072 is an abundant number, since it is smaller than the sum of its proper divisors (39117696).

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

20703072 is a wasteful number, since it uses less digits than its factorization.

20703072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 20703072 is about 4550.0628567087. The cubic root of 20703072 is about 274.5859200647.

Adding to 20703072 its reverse (27030702), we get a palindrome (47733774).

The spelling of 20703072 in words is "twenty million, seven hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 208 212 312 313 318 416 424 624 626 636 689 848 939 1248 1252 1272 1378 1696 1878 2067 2504 2544 2756 3756 4069 4134 5008 5088 5512 7512 8138 8268 10016 11024 12207 15024 16276 16536 16589 22048 24414 30048 32552 33072 33178 48828 49767 65104 66144 66356 97656 99534 130208 132712 195312 199068 215657 265424 390624 398136 431314 530848 646971 796272 862628 1293942 1592544 1725256 2587884 3450512 5175768 6901024 10351536 20703072