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20358072 = 23327311303
BaseRepresentation
bin100110110101…
…0001110111000
31102022022000200
41031222032320
520202424242
62004202200
7335016660
oct115521670
942268020
1020358072
1110545359
126999360
1342aa3c7
1429bd1a0
151bc204c
hex136a3b8

20358072 has 96 divisors (see below), whose sum is σ = 65095680. Its totient is φ = 5624640.

The previous prime is 20358031. The next prime is 20358073. The reversal of 20358072 is 27085302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20358073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14973 + ... + 16275.

It is an arithmetic number, because the mean of its divisors is an integer number (678080).

Almost surely, 220358072 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 20358072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32547840).

20358072 is an abundant number, since it is smaller than the sum of its proper divisors (44737608).

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

20358072 is a wasteful number, since it uses less digits than its factorization.

20358072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20358072 is about 4511.9920212695. The cubic root of 20358072 is about 273.0521174096.

The spelling of 20358072 in words is "twenty million, three hundred fifty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1303 1736 1953 2232 2604 2606 3906 3909 5208 5212 7812 7818 9121 10424 11727 15624 15636 18242 23454 27363 31272 36484 40393 46908 54726 72968 80786 82089 93816 109452 121179 161572 164178 218904 242358 282751 323144 328356 363537 484716 565502 656712 727074 848253 969432 1131004 1454148 1696506 2262008 2544759 2908296 3393012 5089518 6786024 10179036 20358072