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102980 = 22519271
BaseRepresentation
bin11001001001000100
312020021002
4121021010
511243410
62112432
7606143
oct311104
9166232
10102980
1170409
124b718
1337b47
142975a
15207a5
hex19244

102980 has 24 divisors (see below), whose sum is σ = 228480. Its totient is φ = 38880.

The previous prime is 102967. The next prime is 102983. The reversal of 102980 is 89201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (9520).

2102980 is an apocalyptic number.

102980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114240).

102980 is an abundant number, since it is smaller than the sum of its proper divisors (125500).

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

102980 is a wasteful number, since it uses less digits than its factorization.

102980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 102980 is about 320.9049703573. The cubic root of 102980 is about 46.8724472684.

The spelling of 102980 in words is "one hundred two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 271 380 542 1084 1355 2710 5149 5420 10298 20596 25745 51490 102980