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102002160 = 24351332693
BaseRepresentation
bin1100001010001…
…10110111110000
321002221020122210
412011012313300
5202103032120
614042132120
72346001251
oct605066760
9232836583
10102002160
1152639807
122a1b1040
1318194c10
14d792b28
158e4cce0
hex6146df0

102002160 has 80 divisors (see below), whose sum is σ = 340540704. Its totient is φ = 25107456.

The previous prime is 102002143. The next prime is 102002167. The reversal of 102002160 is 61200201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002167) 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, 13227 + ... + 19466.

Almost surely, 2102002160 is an apocalyptic number.

102002160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002160 is an abundant number, since it is smaller than the sum of its proper divisors (238538544).

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

102002160 is a wasteful number, since it uses less digits than its factorization.

102002160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32722 (or 32716 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102002160 is about 10099.6118737306. The cubic root of 102002160 is about 467.2361709266.

Adding to 102002160 its reverse (61200201), we get a palindrome (163202361).

The spelling of 102002160 in words is "one hundred two million, two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 32693 65386 98079 130772 163465 196158 261544 326930 392316 425009 490395 523088 653860 784632 850018 980790 1275027 1307720 1569264 1700036 1961580 2125045 2550054 2615440 3400072 3923160 4250090 5100108 6375135 6800144 7846320 8500180 10200216 12750270 17000360 20400432 25500540 34000720 51001080 102002160