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20116752 = 2433747241
BaseRepresentation
bin100110010111…
…1010100010000
31101212000222220
41030233110100
520122214002
61555101040
7332663265
oct114572420
941760886
1020116752
11103a0017
1268a1780
134224606
14295926c
151b757bc
hex132f510

20116752 has 80 divisors (see below), whose sum is σ = 54734592. Its totient is φ = 6359040.

The previous prime is 20116751. The next prime is 20116757. The reversal of 20116752 is 25761102.

It is a super-2 number, since 2×201167522 = 809367422059008, which contains 22 as substring.

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 (20116751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83352 + ... + 83592.

Almost surely, 220116752 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 20116752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27367296).

20116752 is an abundant number, since it is smaller than the sum of its proper divisors (34617840).

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

20116752 is a wasteful number, since it uses less digits than its factorization.

20116752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 20116752 is about 4485.1702308831. The cubic root of 20116752 is about 271.9689266695.

Adding to 20116752 its reverse (25761102), we get a palindrome (45877854).

The spelling of 20116752 in words is "twenty million, one hundred sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 47 48 74 94 111 141 148 188 222 241 282 296 376 444 482 564 592 723 752 888 964 1128 1446 1739 1776 1928 2256 2892 3478 3856 5217 5784 6956 8917 10434 11327 11568 13912 17834 20868 22654 26751 27824 33981 35668 41736 45308 53502 67962 71336 83472 90616 107004 135924 142672 181232 214008 271848 419099 428016 543696 838198 1257297 1676396 2514594 3352792 5029188 6705584 10058376 20116752