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102414648 = 23374314177
BaseRepresentation
bin1100001101010…
…11100100111000
321010201012111010
412012223210320
5202204232043
614055033520
72352336660
oct606534470
9233635433
10102414648
11528a0706
122a36b8a0
13182aa8ab
14d85d1a0
158ed0133
hex61ab938

102414648 has 64 divisors (see below), whose sum is σ = 299439360. Its totient is φ = 28578816.

The previous prime is 102414643. The next prime is 102414661. The reversal of 102414648 is 846414201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102414643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136 + ... + 14312.

It is an arithmetic number, because the mean of its divisors is an integer number (4678740).

Almost surely, 2102414648 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 102414648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149719680).

102414648 is an abundant number, since it is smaller than the sum of its proper divisors (197024712).

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

102414648 is a wasteful number, since it uses less digits than its factorization.

102414648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14236 (or 14232 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 102414648 is about 10120.0122529570. The cubic root of 102414648 is about 467.8651448691.

Adding to 102414648 its reverse (846414201), we get a palindrome (948828849).

The spelling of 102414648 in words is "one hundred two million, four hundred fourteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 14177 28354 42531 56708 85062 99239 113416 170124 198478 297717 340248 396956 595434 609611 793912 1190868 1219222 1828833 2381736 2438444 3657666 4267277 4876888 7315332 8534554 12801831 14630664 17069108 25603662 34138216 51207324 102414648