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20315106 = 2327231743
BaseRepresentation
bin100110101111…
…1101111100010
31102020010002100
41031133233202
520200040411
62003231230
7334450500
oct115375742
942203070
1020315106
1110516049
126978516
134293996
1429ab670
151bb4456
hex135fbe2

20315106 has 72 divisors (see below), whose sum is σ = 52925184. Its totient is φ = 5609520.

The previous prime is 20315083. The next prime is 20315117. The reversal of 20315106 is 60151302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26971 + ... + 27713.

It is an arithmetic number, because the mean of its divisors is an integer number (735072).

Almost surely, 220315106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20315106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26462592).

20315106 is an abundant number, since it is smaller than the sum of its proper divisors (32610078).

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

20315106 is a wasteful number, since it uses less digits than its factorization.

20315106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 20315106 is about 4507.2281948000. The cubic root of 20315106 is about 272.8598886555.

Adding to 20315106 its reverse (60151302), we get a palindrome (80466408).

The spelling of 20315106 in words is "twenty million, three hundred fifteen thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 743 882 1302 1486 1519 1953 2229 3038 3906 4458 4557 5201 6687 9114 10402 13374 13671 15603 23033 27342 31206 36407 46066 46809 69099 72814 93618 109221 138198 161231 207297 218442 322462 327663 414594 483693 655326 967386 1128617 1451079 2257234 2902158 3385851 6771702 10157553 20315106