Search a number
-
+
102041324 = 227211194753
BaseRepresentation
bin1100001010100…
…00011011101100
321010000020101022
412011100123230
5202110310244
614043033312
72346223400
oct605203354
9233006338
10102041324
1152666180
122a20b838
13181a99a8
14d7a3100
158e596ee
hex61506ec

102041324 has 144 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 36167040.

The previous prime is 102041323. The next prime is 102041339. The reversal of 102041324 is 423140201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102041321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1925282 + ... + 1925334.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2102041324 is an apocalyptic number.

102041324 is a gapful number since it is divisible by the number (14) 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 102041324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

102041324 is an abundant number, since it is smaller than the sum of its proper divisors (146168596).

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

102041324 is a wasteful number, since it uses less digits than its factorization.

102041324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 102041324 is about 10101.5505740456. The cubic root of 102041324 is about 467.2959621309.

Adding to 102041324 its reverse (423140201), we get a palindrome (525181525).

The spelling of 102041324 in words is "one hundred two million, forty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 47 49 53 76 77 94 98 106 133 154 188 196 209 212 266 308 329 371 418 517 532 539 583 658 742 836 893 931 1007 1034 1078 1166 1316 1463 1484 1786 1862 2014 2068 2156 2303 2332 2491 2597 2926 3572 3619 3724 4028 4081 4606 4982 5194 5852 6251 7049 7238 8162 9212 9823 9964 10241 10388 11077 12502 14098 14476 16324 17437 19646 20482 22154 25004 25333 27401 28196 28567 34874 39292 40964 43757 44308 47329 49343 50666 54802 57134 68761 69748 77539 87514 94658 98686 101332 109604 114268 122059 137522 155078 175028 189316 191807 197372 244118 275044 310156 331303 383614 481327 488236 520619 542773 662606 767228 962654 1041238 1085546 1325212 1342649 1925308 2082476 2171092 2319121 2685298 3644333 4638242 5370596 7288666 9276484 14577332 25510331 51020662 102041324