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102415356 = 223229263373
BaseRepresentation
bin1100001101010…
…11101111111100
321010201020110100
412012223233330
5202204242411
614055041100
72352342021
oct606535774
9233636410
10102415356
11528a119a
122a370190
13182ab004
14d85d548
158ed0456
hex61abbfc

102415356 has 72 divisors (see below), whose sum is σ = 269549280. Its totient is φ = 32747904.

The previous prime is 102415337. The next prime is 102415367. The reversal of 102415356 is 653514201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274386 + ... + 274758.

It is an arithmetic number, because the mean of its divisors is an integer number (3743740).

Almost surely, 2102415356 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 102415356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134774640).

102415356 is an abundant number, since it is smaller than the sum of its proper divisors (167133924).

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

102415356 is a wasteful number, since it uses less digits than its factorization.

102415356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 102415356 is about 10120.0472330914. The cubic root of 102415356 is about 467.8662229954.

Adding to 102415356 its reverse (653514201), we get a palindrome (755929557).

The spelling of 102415356 in words is "one hundred two million, four hundred fifteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 263 348 373 522 526 746 789 1044 1052 1119 1492 1578 2238 2367 3156 3357 4476 4734 6714 7627 9468 10817 13428 15254 21634 22881 30508 32451 43268 45762 64902 68643 91524 97353 98099 129804 137286 194706 196198 274572 294297 389412 392396 588594 882891 1177188 1765782 2844871 3531564 5689742 8534613 11379484 17069226 25603839 34138452 51207678 102415356