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20700316 = 22713293753
BaseRepresentation
bin100111011110…
…1110010011100
31102221200111101
41032331302130
520244402231
62015402444
7340643530
oct116756234
942850441
1020700316
11107594aa
126b23424
13439a110
142a6bbc0
151c3d661
hex13bdc9c

20700316 has 96 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 7547904.

The previous prime is 20700313. The next prime is 20700319. The reversal of 20700316 is 61300702.

It is an interprime number because it is at equal distance from previous prime (20700313) and next prime (20700319).

It is a junction number, because it is equal to n+sod(n) for n = 20700293 and 20700302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20700313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390546 + ... + 390598.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 220700316 is an apocalyptic number.

20700316 is a gapful number since it is divisible by the number (26) 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 20700316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

20700316 is an abundant number, since it is smaller than the sum of its proper divisors (27562724).

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

20700316 is a wasteful number, since it uses less digits than its factorization.

20700316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 20700316 is about 4549.7599936700. The cubic root of 20700316 is about 274.5737352003.

It can be divided in two parts, 20 and 700316, that added together give a triangular number (700336 = T1183).

The spelling of 20700316 in words is "twenty million, seven hundred thousand, three hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 29 37 52 53 58 74 91 106 116 148 182 203 212 259 364 371 377 406 481 518 689 742 754 812 962 1036 1073 1378 1484 1508 1537 1924 1961 2146 2639 2756 3074 3367 3922 4292 4823 5278 6148 6734 7511 7844 9646 10556 10759 13468 13727 13949 15022 19292 19981 21518 25493 27454 27898 30044 39962 43036 50986 54908 55796 56869 79924 97643 101972 113738 139867 178451 195286 227476 279734 356902 390572 398083 559468 713804 739297 796166 1478594 1592332 2957188 5175079 10350158 20700316