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123240 = 23351379
BaseRepresentation
bin11110000101101000
320021001110
4132011220
512420430
62350320
71022205
oct360550
9207043
10123240
1184657
125b3a0
1344130
1432cac
15267b0
hex1e168

123240 has 64 divisors (see below), whose sum is σ = 403200. Its totient is φ = 29952.

The previous prime is 123239. The next prime is 123259. The reversal of 123240 is 42321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1521 + ... + 1599.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2123240 is an apocalyptic number.

123240 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 123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

123240 is an abundant number, since it is smaller than the sum of its proper divisors (279960).

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

123240 is a wasteful number, since it uses less digits than its factorization.

123240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 123240 is about 351.0555511596. The cubic root of 123240 is about 49.7642232676.

Adding to 123240 its reverse (42321), we get a palindrome (165561).

It can be divided in two parts, 123 and 240, that added together give a palindrome (363).

The spelling of 123240 in words is "one hundred twenty-three thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 79 104 120 130 156 158 195 237 260 312 316 390 395 474 520 632 780 790 948 1027 1185 1560 1580 1896 2054 2370 3081 3160 4108 4740 5135 6162 8216 9480 10270 12324 15405 20540 24648 30810 41080 61620 123240