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20351136 = 2531323709
BaseRepresentation
bin100110110100…
…0100010100000
31102021221111210
41031220202200
520202214021
62004110120
7334660521
oct115504240
942257453
1020351136
1110540123
126995340
1342a71c0
1429ba848
151bbee76
hex13688a0

20351136 has 96 divisors (see below), whose sum is σ = 60117120. Its totient is φ = 5981184.

The previous prime is 20351131. The next prime is 20351143. The reversal of 20351136 is 63115302.

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

It is not an unprimeable number, because it can be changed into a prime (20351131) 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, 28350 + ... + 29058.

It is an arithmetic number, because the mean of its divisors is an integer number (626220).

Almost surely, 220351136 is an apocalyptic number.

20351136 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 20351136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30058560).

20351136 is an abundant number, since it is smaller than the sum of its proper divisors (39765984).

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

20351136 is a wasteful number, since it uses less digits than its factorization.

20351136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 20351136 is about 4511.2233374108. The cubic root of 20351136 is about 273.0211042467.

Adding to 20351136 its reverse (63115302), we get a palindrome (83466438).

The spelling of 20351136 in words is "twenty million, three hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 709 736 897 1104 1196 1248 1418 1794 2127 2208 2392 2836 3588 4254 4784 5672 7176 8508 9217 9568 11344 14352 16307 17016 18434 22688 27651 28704 32614 34032 36868 48921 55302 65228 68064 73736 97842 110604 130456 147472 195684 211991 221208 260912 294944 391368 423982 442416 521824 635973 782736 847964 884832 1271946 1565472 1695928 2543892 3391856 5087784 6783712 10175568 20351136