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122740 = 22517192
BaseRepresentation
bin11101111101110100
320020100221
4131331310
512411430
62344124
71020562
oct357564
9206327
10122740
1184242
125b044
1343b37
1432a32
152657a
hex1df74

122740 has 36 divisors (see below), whose sum is σ = 288036. Its totient is φ = 43776.

The previous prime is 122719. The next prime is 122741. The reversal of 122740 is 47221.

It can be written as a sum of positive squares in 2 ways, for example, as 70756 + 51984 = 266^2 + 228^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122741) by changing a digit.

122740 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6451 + ... + 6469.

It is an arithmetic number, because the mean of its divisors is an integer number (8001).

2122740 is an apocalyptic number.

122740 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 122740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144018).

122740 is an abundant number, since it is smaller than the sum of its proper divisors (165296).

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

122740 is a wasteful number, since it uses less digits than its factorization.

122740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 122740 is about 350.3426893771. The cubic root of 122740 is about 49.6968321672.

Adding to 122740 its reverse (47221), we get a palindrome (169961).

The spelling of 122740 in words is "one hundred twenty-two thousand, seven hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 361 380 646 722 1292 1444 1615 1805 3230 3610 6137 6460 7220 12274 24548 30685 61370 122740