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20072512 = 261719971
BaseRepresentation
bin100110010010…
…0100001000000
31101202210022101
41030210201000
520114310022
61554120144
7332420305
oct114444100
941683271
1020072512
111036a859
126880054
13420a435
1429470ac
151b67627
hex1324840

20072512 has 56 divisors (see below), whose sum is σ = 44439840. Its totient is φ = 8939520.

The previous prime is 20072509. The next prime is 20072513. The reversal of 20072512 is 21527002.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 20072512.

It is not an unprimeable number, because it can be changed into a prime (20072513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20187 + ... + 21157.

Almost surely, 220072512 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 20072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219920).

20072512 is an abundant number, since it is smaller than the sum of its proper divisors (24367328).

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

20072512 is a wasteful number, since it uses less digits than its factorization.

20072512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 20072512 is about 4480.2357080850. The cubic root of 20072512 is about 271.7694124181.

Adding to 20072512 its reverse (21527002), we get a palindrome (41599514).

The spelling of 20072512 in words is "twenty million, seventy-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 544 608 646 971 1088 1216 1292 1942 2584 3884 5168 7768 10336 15536 16507 18449 20672 31072 33014 36898 62144 66028 73796 132056 147592 264112 295184 313633 528224 590368 627266 1056448 1180736 1254532 2509064 5018128 10036256 20072512