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102240 = 2532571
BaseRepresentation
bin11000111101100000
312012020200
4120331200
511232430
62105200
7604035
oct307540
9165220
10102240
116a8a6
124b200
13376c8
142938c
1520460
hex18f60

102240 has 72 divisors (see below), whose sum is σ = 353808. Its totient is φ = 26880.

The previous prime is 102233. The next prime is 102241. The reversal of 102240 is 42201.

102240 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1405 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2102240 is an apocalyptic number.

102240 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 102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904).

102240 is an abundant number, since it is smaller than the sum of its proper divisors (251568).

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

102240 is a wasteful number, since it uses less digits than its factorization.

102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102240 is about 319.7499022674. The cubic root of 102240 is about 46.7599042948.

Adding to 102240 its reverse (42201), we get a palindrome (144441).

The spelling of 102240 in words is "one hundred two thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 71 72 80 90 96 120 142 144 160 180 213 240 284 288 355 360 426 480 568 639 710 720 852 1065 1136 1278 1420 1440 1704 2130 2272 2556 2840 3195 3408 4260 5112 5680 6390 6816 8520 10224 11360 12780 17040 20448 25560 34080 51120 102240