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102340 = 22571743
BaseRepresentation
bin11000111111000100
312012101101
4120333010
511233330
62105444
7604240
oct307704
9165341
10102340
116a987
124b284
1337774
1429420
15204ca
hex18fc4

102340 has 48 divisors (see below), whose sum is σ = 266112. Its totient is φ = 32256.

The previous prime is 102337. The next prime is 102359. The reversal of 102340 is 43201.

102340 = T1 + T2 + ... + T84.

102340 is a nontrivial binomial coefficient, being equal to C(86, 3).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is the 84-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2359 + ... + 2401.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2102340 is an apocalyptic number.

102340 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 102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056).

102340 is an abundant number, since it is smaller than the sum of its proper divisors (163772).

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

102340 is a wasteful number, since it uses less digits than its factorization.

102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 102340 is about 319.9062362631. The cubic root of 102340 is about 46.7751444707.

Adding to 102340 its reverse (43201), we get a palindrome (145541).

The spelling of 102340 in words is "one hundred two thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 43 68 70 85 86 119 140 170 172 215 238 301 340 430 476 595 602 731 860 1190 1204 1462 1505 2380 2924 3010 3655 5117 6020 7310 10234 14620 20468 25585 51170 102340