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124080 = 24351147
BaseRepresentation
bin11110010010110000
320022012120
4132102300
512432310
62354240
71024515
oct362260
9208176
10124080
1185250
125b980
1344628
143330c
1526b70
hex1e4b0

124080 has 80 divisors (see below), whose sum is σ = 428544. Its totient is φ = 29440.

The previous prime is 124067. The next prime is 124087. The reversal of 124080 is 80421.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (124087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2617 + ... + 2663.

2124080 is an apocalyptic number.

124080 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 124080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272).

124080 is an abundant number, since it is smaller than the sum of its proper divisors (304464).

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

124080 is a wasteful number, since it uses less digits than its factorization.

124080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 124080 is about 352.2499112846. The cubic root of 124080 is about 49.8770311545.

The spelling of 124080 in words is "one hundred twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 235 240 264 282 330 376 440 470 517 528 564 660 705 752 880 940 1034 1128 1320 1410 1551 1880 2068 2256 2585 2640 2820 3102 3760 4136 5170 5640 6204 7755 8272 10340 11280 12408 15510 20680 24816 31020 41360 62040 124080