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20102152 = 2372192699
BaseRepresentation
bin100110010101…
…1110000001000
31101211021222011
41030223300020
520121232102
61554505304
7332602600
oct114536010
941737864
1020102152
1110390054
126895234
13421aa85
142953c00
151b712d7
hex132bc08

20102152 has 48 divisors (see below), whose sum is σ = 46170000. Its totient is φ = 8158752.

The previous prime is 20102129. The next prime is 20102153. The reversal of 20102152 is 25120102.

It is a super-2 number, since 2×201021522 = 808193030062208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20102153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6099 + ... + 8797.

It is an arithmetic number, because the mean of its divisors is an integer number (961875).

Almost surely, 220102152 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 20102152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23085000).

20102152 is an abundant number, since it is smaller than the sum of its proper divisors (26067848).

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

20102152 is a wasteful number, since it uses less digits than its factorization.

20102152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 20102152 is about 4483.5423495268. The cubic root of 20102152 is about 271.9031157254.

Adding to 20102152 its reverse (25120102), we get a palindrome (45222254).

It can be divided in two parts, 20102 and 152, that multiplied together give a square (3055504 = 17482).

The spelling of 20102152 in words is "twenty million, one hundred two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 2699 3724 5398 7448 10796 18893 21592 37786 51281 75572 102562 132251 151144 205124 264502 358967 410248 529004 717934 1058008 1435868 2512769 2871736 5025538 10051076 20102152