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20132424 = 233213137157
BaseRepresentation
bin100110011001…
…1001001001000
31101212211111100
41030303021020
520123214144
61555301400
7333060054
oct114631110
941784440
1020132424
1110400874
1268aa860
13422b7a0
142960c64
151b7a269
hex1333248

20132424 has 96 divisors (see below), whose sum is σ = 59524920. Its totient is φ = 6110208.

The previous prime is 20132407. The next prime is 20132443. The reversal of 20132424 is 42423102.

It can be written as a sum of positive squares in 4 ways, for example, as 12744900 + 7387524 = 3570^2 + 2718^2 .

It is a super-2 number, since 2×201324242 = 810628992231552, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20132397 and 20132406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128154 + ... + 128310.

Almost surely, 220132424 is an apocalyptic number.

20132424 is a gapful number since it is divisible by the number (24) 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 20132424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29762460).

20132424 is an abundant number, since it is smaller than the sum of its proper divisors (39392496).

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

20132424 is a wasteful number, since it uses less digits than its factorization.

20132424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20132424 is about 4486.9169816256. The cubic root of 20132424 is about 272.0395343343.

Adding to 20132424 its reverse (42423102), we get a palindrome (62555526).

The spelling of 20132424 in words is "twenty million, one hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 137 156 157 234 274 312 314 411 468 471 548 628 822 936 942 1096 1233 1256 1413 1644 1781 1884 2041 2466 2826 3288 3562 3768 4082 4932 5343 5652 6123 7124 8164 9864 10686 11304 12246 14248 16029 16328 18369 21372 21509 24492 32058 36738 42744 43018 48984 64116 64527 73476 86036 128232 129054 146952 172072 193581 258108 279617 387162 516216 559234 774324 838851 1118468 1548648 1677702 2236936 2516553 3355404 5033106 6710808 10066212 20132424