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20133316 = 2272139739
BaseRepresentation
bin100110011001…
…1010111000100
31101212212201101
41030303113010
520123231231
61555305444
7333062500
oct114632704
941785641
1020133316
1110401505
1268ab284
13422c008
142961300
151b7a661
hex13335c4

20133316 has 36 divisors (see below), whose sum is σ = 41336400. Its totient is φ = 8554896.

The previous prime is 20133301. The next prime is 20133329. The reversal of 20133316 is 61333102.

It is a junction number, because it is equal to n+sod(n) for n = 20133293 and 20133302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26875 + ... + 27613.

Almost surely, 220133316 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 20133316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20668200).

20133316 is an abundant number, since it is smaller than the sum of its proper divisors (21203084).

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

20133316 is a wasteful number, since it uses less digits than its factorization.

20133316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 20133316 is about 4487.0163806253. The cubic root of 20133316 is about 272.0435519939.

Adding to 20133316 its reverse (61333102), we get a palindrome (81466418).

It can be divided in two parts, 20133 and 316, that added together give a square (20449 = 1432).

The spelling of 20133316 in words is "twenty million, one hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 139 196 278 556 739 973 1478 1946 2956 3892 5173 6811 10346 13622 20692 27244 36211 72422 102721 144844 205442 410884 719047 1438094 2876188 5033329 10066658 20133316