Search a number
-
+
102523344 = 24371127739
BaseRepresentation
bin1100001110001…
…10000111010000
321010220201120220
412013012013100
5202221221334
614101233040
72353301610
oct607060720
9233821526
10102523344
1152965340
122a402780
1318318201
14d88aa40
159002449
hex61c61d0

102523344 has 80 divisors (see below), whose sum is σ = 330216960. Its totient is φ = 26628480.

The previous prime is 102523339. The next prime is 102523357. The reversal of 102523344 is 443325201.

It is a super-2 number, since 2×1025233442 = 21022072129884672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10174 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (4127712).

Almost surely, 2102523344 is an apocalyptic number.

102523344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102523344 is an abundant number, since it is smaller than the sum of its proper divisors (227693616).

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

102523344 is a wasteful number, since it uses less digits than its factorization.

102523344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27768 (or 27762 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 102523344 is about 10125.3811780100. The cubic root of 102523344 is about 468.0306065161.

Adding to 102523344 its reverse (443325201), we get a palindrome (545848545).

The spelling of 102523344 in words is "one hundred two million, five hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 27739 55478 83217 110956 166434 194173 221912 305129 332868 388346 443824 582519 610258 665736 776692 915387 1165038 1220516 1331472 1553384 1830774 2135903 2330076 2441032 3106768 3661548 4271806 4660152 4882064 6407709 7323096 8543612 9320304 12815418 14646192 17087224 25630836 34174448 51261672 102523344