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102251430 = 23351722277
BaseRepresentation
bin1100001100000…
…11101110100110
321010101220121000
412012003232212
5202134021210
614051334130
72351060061
oct606035646
9233356530
10102251430
115279a016
122a2b1346
1318251508
14d8198d8
158e9bac0
hex6183ba6

102251430 has 64 divisors (see below), whose sum is σ = 288722880. Its totient is φ = 25661952.

The previous prime is 102251411. The next prime is 102251437. The reversal of 102251430 is 34152201.

102251430 is a `hidden beast` number, since 10 + 225 + 1 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102251437) 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 31 ways as a sum of consecutive naturals, for example, 6549 + ... + 15728.

It is an arithmetic number, because the mean of its divisors is an integer number (4511295).

Almost surely, 2102251430 is an apocalyptic number.

102251430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102251430 is an abundant number, since it is smaller than the sum of its proper divisors (186471450).

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

102251430 is a wasteful number, since it uses less digits than its factorization.

102251430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22310 (or 22304 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102251430 is about 10111.9449167804. The cubic root of 102251430 is about 467.6164674982.

The spelling of 102251430 in words is "one hundred two million, two hundred fifty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 22277 44554 66831 111385 133662 200493 222770 334155 378709 400986 601479 668310 757418 1002465 1136127 1202958 1893545 2004930 2272254 3007395 3408381 3787090 5680635 6014790 6816762 10225143 11361270 17041905 20450286 34083810 51125715 102251430