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20126288 = 2471323601
BaseRepresentation
bin100110011000…
…1101001010000
31101212112002002
41030301221100
520123020123
61555213132
7333033140
oct114615120
941775062
1020126288
11103a71a6
1268a71a8
134228a60
14295c920
151b78528
hex1331a50

20126288 has 80 divisors (see below), whose sum is σ = 50163456. Its totient is φ = 7603200.

The previous prime is 20126287. The next prime is 20126291. The reversal of 20126288 is 88262102.

It is a self number, because there is not a number n which added to its sum of digits gives 20126288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20126287) 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, 33188 + ... + 33788.

Almost surely, 220126288 is an apocalyptic number.

20126288 is a gapful number since it is divisible by the number (28) 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 20126288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25081728).

20126288 is an abundant number, since it is smaller than the sum of its proper divisors (30037168).

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

20126288 is a wasteful number, since it uses less digits than its factorization.

20126288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 20126288 is about 4486.2331638023. The cubic root of 20126288 is about 272.0118939436.

The spelling of 20126288 in words is "twenty million, one hundred twenty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 601 644 728 1196 1202 1288 1456 2093 2392 2404 2576 4186 4207 4784 4808 7813 8372 8414 9616 13823 15626 16744 16828 27646 31252 33488 33656 54691 55292 62504 67312 96761 109382 110584 125008 179699 193522 218764 221168 359398 387044 437528 718796 774088 875056 1257893 1437592 1548176 2515786 2875184 5031572 10063144 20126288