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102930 = 2354773
BaseRepresentation
bin11001001000010010
312020012020
4121020102
511243210
62112310
7606042
oct311022
9166166
10102930
1170373
124b696
1337b09
1429722
1520770
hex19212

102930 has 32 divisors (see below), whose sum is σ = 255744. Its totient is φ = 26496.

The previous prime is 102929. The next prime is 102931. The reversal of 102930 is 39201.

It is an interprime number because it is at equal distance from previous prime (102929) and next prime (102931).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374 + ... + 1446.

It is an arithmetic number, because the mean of its divisors is an integer number (7992).

2102930 is an apocalyptic number.

102930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127872).

102930 is an abundant number, since it is smaller than the sum of its proper divisors (152814).

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

102930 is a wasteful number, since it uses less digits than its factorization.

102930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 102930 is about 320.8270562157. The cubic root of 102930 is about 46.8648600289.

The spelling of 102930 in words is "one hundred two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 73 94 141 146 219 235 282 365 438 470 705 730 1095 1410 2190 3431 6862 10293 17155 20586 34310 51465 102930