Search a number
-
+
124440 = 23351761
BaseRepresentation
bin11110011000011000
320022200220
4132120120
512440230
62400040
71025541
oct363030
9208626
10124440
1185548
1260020
1344844
14334c8
1526d10
hex1e618

124440 has 64 divisors (see below), whose sum is σ = 401760. Its totient is φ = 30720.

The previous prime is 124433. The next prime is 124447. The reversal of 124440 is 44421.

124440 = T19 + T20 + ... + T90.

124440 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (124433) and next prime (124447).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124447) by changing a digit.

124440 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 15 ways as a sum of consecutive naturals, for example, 2010 + ... + 2070.

2124440 is an apocalyptic number.

124440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

124440 is the 204-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

124440 is an abundant number, since it is smaller than the sum of its proper divisors (277320).

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

124440 is a wasteful number, since it uses less digits than its factorization.

124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 124440 is about 352.7605420111. The cubic root of 124440 is about 49.9252215528.

Adding to 124440 its reverse (44421), we get a palindrome (168861).

The spelling of 124440 in words is "one hundred twenty-four thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 61 68 85 102 120 122 136 170 183 204 244 255 305 340 366 408 488 510 610 680 732 915 1020 1037 1220 1464 1830 2040 2074 2440 3111 3660 4148 5185 6222 7320 8296 10370 12444 15555 20740 24888 31110 41480 62220 124440