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102542176 = 2511271373
BaseRepresentation
bin1100001110010…
…10101101100000
321010221200102101
412013022231200
5202222322201
614101500144
72353410532
oct607125540
9233850371
10102542176
1152978500
122a411654
1318323959
14d893852
159007d01
hex61cab60

102542176 has 72 divisors (see below), whose sum is σ = 225629712. Its totient is φ = 45830400.

The previous prime is 102542161. The next prime is 102542179. The reversal of 102542176 is 671245201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102542179) 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, 274726 + ... + 275098.

It is an arithmetic number, because the mean of its divisors is an integer number (3133746).

Almost surely, 2102542176 is an apocalyptic number.

102542176 is a gapful number since it is divisible by the number (16) 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 102542176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112814856).

102542176 is an abundant number, since it is smaller than the sum of its proper divisors (123087536).

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

102542176 is a wasteful number, since it uses less digits than its factorization.

102542176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 102542176 is about 10126.3110756089. The cubic root of 102542176 is about 468.0592614950.

Adding to 102542176 its reverse (671245201), we get a palindrome (773787377).

The spelling of 102542176 in words is "one hundred two million, five hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 121 142 176 242 284 352 373 484 568 746 781 968 1136 1492 1562 1936 2272 2984 3124 3872 4103 5968 6248 8206 8591 11936 12496 16412 17182 24992 26483 32824 34364 45133 52966 65648 68728 90266 105932 131296 137456 180532 211864 274912 291313 361064 423728 582626 722128 847456 1165252 1444256 2330504 3204443 4661008 6408886 9322016 12817772 25635544 51271088 102542176