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20150032 = 2471719557
BaseRepresentation
bin100110011011…
…1011100010000
31101220201122111
41030313130100
520124300112
61555515104
7333162310
oct114673420
941821574
1020150032
1110413021
1268b8a94
1342367c6
142967440
151b805a7
hex1337710

20150032 has 80 divisors (see below), whose sum is σ = 49818240. Its totient is φ = 7686144.

The previous prime is 20150021. The next prime is 20150033. The reversal of 20150032 is 23005102.

It is a junction number, because it is equal to n+sod(n) for n = 20149994 and 20150021.

It is not an unprimeable number, because it can be changed into a prime (20150033) 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, 35898 + ... + 36454.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 220150032 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 20150032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909120).

20150032 is an abundant number, since it is smaller than the sum of its proper divisors (29668208).

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

20150032 is a wasteful number, since it uses less digits than its factorization.

20150032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 20150032 is about 4488.8787018586. The cubic root of 20150032 is about 272.1188206358.

Adding to 20150032 its reverse (23005102), we get a palindrome (43155134).

The spelling of 20150032 in words is "twenty million, one hundred fifty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 557 646 952 1064 1114 1292 1904 2128 2228 2261 2584 3899 4456 4522 5168 7798 8912 9044 9469 10583 15596 18088 18938 21166 31192 36176 37876 42332 62384 66283 74081 75752 84664 132566 148162 151504 169328 179911 265132 296324 359822 530264 592648 719644 1060528 1185296 1259377 1439288 2518754 2878576 5037508 10075016 20150032