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20126130 = 23517193167
BaseRepresentation
bin100110011000…
…1100110110010
31101212111212020
41030301212302
520123014010
61555212310
7333032523
oct114614662
941774766
1020126130
11103a7072
1268a7096
13422896b
14295c84a
151b78470
hex13319b2

20126130 has 128 divisors (see below), whose sum is σ = 56401920. Its totient is φ = 4561920.

The previous prime is 20126129. The next prime is 20126131. The reversal of 20126130 is 3162102.

It is an interprime number because it is at equal distance from previous prime (20126129) and next prime (20126131).

It is a super-2 number, since 2×201261302 = 810122217553800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20126131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300357 + ... + 300423.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 220126130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20126130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200960).

20126130 is an abundant number, since it is smaller than the sum of its proper divisors (36275790).

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

20126130 is a wasteful number, since it uses less digits than its factorization.

20126130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 20126130 is about 4486.2155543398. The cubic root of 20126130 is about 272.0111821383.

Adding to 20126130 its reverse (3162102), we get a palindrome (23288232).

The spelling of 20126130 in words is "twenty million, one hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 31 34 38 51 57 62 67 85 93 95 102 114 134 155 170 186 190 201 255 285 310 323 335 402 465 510 527 570 589 646 670 930 969 1005 1054 1139 1178 1273 1581 1615 1767 1938 2010 2077 2278 2546 2635 2945 3162 3230 3417 3534 3819 4154 4845 5270 5695 5890 6231 6365 6834 7638 7905 8835 9690 10013 10385 11390 12462 12730 15810 17085 17670 19095 20026 20770 21641 30039 31155 34170 35309 38190 39463 43282 50065 60078 62310 64923 70618 78926 100130 105927 108205 118389 129846 150195 176545 197315 211854 216410 236778 300390 324615 353090 394630 529635 591945 649230 670871 1059270 1183890 1341742 2012613 3354355 4025226 6708710 10063065 20126130