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20135472 = 243731223
BaseRepresentation
bin100110011001…
…1111000110000
31101212222200020
41030303320300
520123313342
61555323440
7333102000
oct114637060
941788606
1020135472
1110403095
1268b0580
13422cca6
142962000
151b7b0ec
hex1333e30

20135472 has 80 divisors (see below), whose sum is σ = 60710400. Its totient is φ = 5748288.

The previous prime is 20135447. The next prime is 20135501. The reversal of 20135472 is 27453102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15853 + ... + 17075.

It is an arithmetic number, because the mean of its divisors is an integer number (758880).

Almost surely, 220135472 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 20135472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355200).

20135472 is an abundant number, since it is smaller than the sum of its proper divisors (40574928).

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

20135472 is a wasteful number, since it uses less digits than its factorization.

20135472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 20135472 is about 4487.2566229268. The cubic root of 20135472 is about 272.0532623493.

Adding to 20135472 its reverse (27453102), we get a palindrome (47588574).

The spelling of 20135472 in words is "twenty million, one hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1223 1372 2058 2352 2446 2744 3669 4116 4892 5488 7338 8232 8561 9784 14676 16464 17122 19568 25683 29352 34244 51366 58704 59927 68488 102732 119854 136976 179781 205464 239708 359562 410928 419489 479416 719124 838978 958832 1258467 1438248 1677956 2516934 2876496 3355912 5033868 6711824 10067736 20135472