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20102472 = 2333137159
BaseRepresentation
bin100110010101…
…1110101001000
31101211022102000
41030223311020
520121234342
61554511000
7332603535
oct114536510
941738360
1020102472
1110390315
126895460
13421ac70
142953d8c
151b7144c
hex132bd48

20102472 has 64 divisors (see below), whose sum is σ = 60144000. Its totient is φ = 6184512.

The previous prime is 20102461. The next prime is 20102473. The reversal of 20102472 is 27420102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20102473) 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, 772 + ... + 6387.

It is an arithmetic number, because the mean of its divisors is an integer number (939750).

Almost surely, 220102472 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 20102472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30072000).

20102472 is an abundant number, since it is smaller than the sum of its proper divisors (40041528).

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

20102472 is a wasteful number, since it uses less digits than its factorization.

20102472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20102472 is about 4483.5780354534. The cubic root of 20102472 is about 271.9045584985.

Adding to 20102472 its reverse (27420102), we get a palindrome (47522574).

The spelling of 20102472 in words is "twenty million, one hundred two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 7159 14318 21477 28636 42954 57272 64431 85908 93067 128862 171816 186134 193293 257724 279201 372268 386586 515448 558402 744536 773172 837603 1116804 1546344 1675206 2233608 2512809 3350412 5025618 6700824 10051236 20102472