Search a number
-
+
102442428 = 223311531627
BaseRepresentation
bin1100001101100…
…10010110111100
321010202121121000
412012302112330
5202211124203
614055410300
72352513654
oct606622674
9233677530
10102442428
115290a570
122a383990
13182ba42a
14d869364
158ed84a3
hex61b25bc

102442428 has 96 divisors (see below), whose sum is σ = 295384320. Its totient is φ = 30438720.

The previous prime is 102442427. The next prime is 102442429. The reversal of 102442428 is 824244201.

It is an interprime number because it is at equal distance from previous prime (102442427) and next prime (102442429).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102442423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62151 + ... + 63777.

It is an arithmetic number, because the mean of its divisors is an integer number (3076920).

Almost surely, 2102442428 is an apocalyptic number.

102442428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102442428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147692160).

102442428 is an abundant number, since it is smaller than the sum of its proper divisors (192941892).

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

102442428 is a wasteful number, since it uses less digits than its factorization.

102442428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 102442428 is about 10121.3846878774. The cubic root of 102442428 is about 467.9074438924.

Adding to 102442428 its reverse (824244201), we get a palindrome (926686629).

The spelling of 102442428 in words is "one hundred two million, four hundred forty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 99 106 108 132 159 198 212 297 318 396 477 583 594 636 954 1166 1188 1431 1627 1749 1908 2332 2862 3254 3498 4881 5247 5724 6508 6996 9762 10494 14643 15741 17897 19524 20988 29286 31482 35794 43929 53691 58572 62964 71588 86231 87858 107382 161073 172462 175716 214764 258693 322146 344924 483219 517386 644292 776079 948541 966438 1034772 1552158 1897082 1932876 2328237 2845623 3104316 3794164 4656474 5691246 8536869 9312948 11382492 17073738 25610607 34147476 51221214 102442428