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20135368 = 231133161
BaseRepresentation
bin100110011001…
…1110111001000
31101212222112101
41030303313020
520123312433
61555323144
7333101461
oct114636710
941788471
1020135368
1110403000
1268b04b4
13422cc26
142961d68
151b7b07d
hex1333dc8

20135368 has 64 divisors (see below), whose sum is σ = 43568640. Its totient is φ = 8712000.

The previous prime is 20135359. The next prime is 20135377. The reversal of 20135368 is 86353102.

It is an interprime number because it is at equal distance from previous prime (20135359) and next prime (20135377).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 330058 + ... + 330118.

It is an arithmetic number, because the mean of its divisors is an integer number (680760).

Almost surely, 220135368 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 20135368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784320).

20135368 is an abundant number, since it is smaller than the sum of its proper divisors (23433272).

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

20135368 is a wasteful number, since it uses less digits than its factorization.

20135368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 20135368 is about 4487.2450345396. The cubic root of 20135368 is about 272.0527939622.

It can be divided in two parts, 20135 and 368, that added together give a triangular number (20503 = T202).

The spelling of 20135368 in words is "twenty million, one hundred thirty-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 22 31 44 61 62 88 121 122 124 242 244 248 341 484 488 671 682 968 1331 1342 1364 1891 2662 2684 2728 3751 3782 5324 5368 7381 7502 7564 10648 14762 15004 15128 20801 29524 30008 41261 41602 59048 81191 82522 83204 162382 165044 166408 228811 324764 330088 457622 649528 915244 1830488 2516921 5033842 10067684 20135368