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102286842 = 23719235573
BaseRepresentation
bin1100001100011…
…00010111111010
321010110201011120
412012030113322
5202141134332
614052210110
72351265240
oct606142772
9233421146
10102286842
1152813689
122a309936
1318264678
14d828790
158ea732c
hex618c5fa

102286842 has 64 divisors (see below), whose sum is σ = 256849920. Its totient is φ = 26478144.

The previous prime is 102286837. The next prime is 102286853. The reversal of 102286842 is 248682201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15568 + ... + 21140.

It is an arithmetic number, because the mean of its divisors is an integer number (4013280).

Almost surely, 2102286842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102286842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128424960).

102286842 is an abundant number, since it is smaller than the sum of its proper divisors (154563078).

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

102286842 is a wasteful number, since it uses less digits than its factorization.

102286842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627.

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 102286842 is about 10113.6957636662. The cubic root of 102286842 is about 467.6704433468.

The spelling of 102286842 in words is "one hundred two million, two hundred eighty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 798 874 966 1311 2622 3059 5573 6118 9177 11146 16719 18354 33438 39011 78022 105887 117033 128179 211774 234066 256358 317661 384537 635322 741209 769074 897253 1482418 1794506 2223627 2435401 2691759 4447254 4870802 5383518 7306203 14612406 17047807 34095614 51143421 102286842