[go: up one dir, main page]

Search a number
-
+
123480 = 2332573
BaseRepresentation
bin11110001001011000
320021101100
4132021120
512422410
62351400
71023000
oct361130
9207340
10123480
1184855
125b560
1344286
1433000
15268c0
hex1e258

123480 has 96 divisors (see below), whose sum is σ = 468000. Its totient is φ = 28224.

The previous prime is 123479. The next prime is 123491. The reversal of 123480 is 84321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17637 + ... + 17643.

It is an arithmetic number, because the mean of its divisors is an integer number (4875).

2123480 is an apocalyptic number.

123480 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 123480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234000).

123480 is an abundant number, since it is smaller than the sum of its proper divisors (344520).

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

123480 is a wasteful number, since it uses less digits than its factorization.

123480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 123480 is about 351.3972111443. The cubic root of 123480 is about 49.7965062629.

The spelling of 123480 in words is "one hundred twenty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 343 360 392 420 441 490 504 588 630 686 735 840 882 980 1029 1176 1260 1372 1470 1715 1764 1960 2058 2205 2520 2744 2940 3087 3430 3528 4116 4410 5145 5880 6174 6860 8232 8820 10290 12348 13720 15435 17640 20580 24696 30870 41160 61740 123480