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20134296 = 23327213439
BaseRepresentation
bin100110011001…
…1100110011000
31101212221001200
41030303212120
520123244141
61555314200
7333065400
oct114634630
941787050
1020134296
1110402216
1268ab960
13422c5b0
142961800
151b7aab6
hex1333998

20134296 has 144 divisors (see below), whose sum is σ = 68468400. Its totient is φ = 5298048.

The previous prime is 20134291. The next prime is 20134313. The reversal of 20134296 is 69243102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20134291) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45645 + ... + 46083.

It is an arithmetic number, because the mean of its divisors is an integer number (475475).

Almost surely, 220134296 is an apocalyptic number.

20134296 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 20134296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34234200).

20134296 is an abundant number, since it is smaller than the sum of its proper divisors (48334104).

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

20134296 is a wasteful number, since it uses less digits than its factorization.

20134296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20134296 is about 4487.1255832660. The cubic root of 20134296 is about 272.0479658777.

Adding to 20134296 its reverse (69243102), we get a palindrome (89377398).

The spelling of 20134296 in words is "twenty million, one hundred thirty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 439 441 468 504 546 588 637 728 819 878 882 936 1092 1176 1274 1317 1638 1756 1764 1911 2184 2548 2634 3073 3276 3512 3528 3822 3951 5096 5268 5707 5733 6146 6552 7644 7902 9219 10536 11414 11466 12292 15288 15804 17121 18438 21511 22828 22932 24584 27657 31608 34242 36876 39949 43022 45656 45864 51363 55314 64533 68484 73752 79898 86044 102726 110628 119847 129066 136968 159796 172088 193599 205452 221256 239694 258132 279643 319592 359541 387198 410904 479388 516264 559286 719082 774396 838929 958776 1118572 1438164 1548792 1677858 2237144 2516787 2876328 3355716 5033574 6711432 10067148 20134296