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20411952 = 2431167577
BaseRepresentation
bin100110111011…
…1011000110000
31102102000221020
41031313120300
520211140302
62005255440
7335333031
oct115673060
942360836
1020411952
1110581890
126a04580
1342c8aa2
1429d4a88
151bd2ebc
hex1377630

20411952 has 80 divisors (see below), whose sum is σ = 58484352. Its totient is φ = 6082560.

The previous prime is 20411927. The next prime is 20411953. The reversal of 20411952 is 25911402.

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

It is not an unprimeable number, because it can be changed into a prime (20411953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35088 + ... + 35664.

Almost surely, 220411952 is an apocalyptic number.

20411952 is a gapful number since it is divisible by the number (22) 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 20411952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29242176).

20411952 is an abundant number, since it is smaller than the sum of its proper divisors (38072400).

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

20411952 is a wasteful number, since it uses less digits than its factorization.

20411952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 20411952 is about 4517.9588311537. The cubic root of 20411952 is about 273.2927932472.

It can be divided in two parts, 2041 and 1952, that added together give a palindrome (3993).

The spelling of 20411952 in words is "twenty million, four hundred eleven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 176 201 264 268 402 528 536 577 737 804 1072 1154 1474 1608 1731 2211 2308 2948 3216 3462 4422 4616 5896 6347 6924 8844 9232 11792 12694 13848 17688 19041 25388 27696 35376 38082 38659 50776 76164 77318 101552 115977 152328 154636 231954 304656 309272 425249 463908 618544 850498 927816 1275747 1700996 1855632 2551494 3401992 5102988 6803984 10205976 20411952