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24040080 = 24325173193
BaseRepresentation
bin101101110110…
…1001010010000
31200020100210100
41123231022100
522123240310
62215132400
7411223461
oct133551220
950210710
1024040080
111262a739
128074100
134c992cc
14329ad68
15219cec0
hex16ed290

24040080 has 120 divisors (see below), whose sum is σ = 81622008. Its totient is φ = 6340608.

The previous prime is 24040031. The next prime is 24040087. The reversal of 24040080 is 8004042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4112784 + 19927296 = 2028^2 + 4464^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (24040087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124464 + ... + 124656.

Almost surely, 224040080 is an apocalyptic number.

24040080 is a gapful number since it is divisible by the number (20) 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 24040080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40811004).

24040080 is an abundant number, since it is smaller than the sum of its proper divisors (57581928).

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

24040080 is a wasteful number, since it uses less digits than its factorization.

24040080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 24040080 is about 4903.0684270159. The cubic root of 24040080 is about 288.6103952123.

The spelling of 24040080 in words is "twenty-four million, forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 173 180 193 240 346 360 386 519 579 692 720 772 865 965 1038 1158 1384 1544 1557 1730 1737 1930 2076 2316 2595 2768 2895 3088 3114 3460 3474 3860 4152 4632 5190 5790 6228 6920 6948 7720 7785 8304 8685 9264 10380 11580 12456 13840 13896 15440 15570 17370 20760 23160 24912 27792 31140 33389 34740 41520 46320 62280 66778 69480 100167 124560 133556 138960 166945 200334 267112 300501 333890 400668 500835 534224 601002 667780 801336 1001670 1202004 1335560 1502505 1602672 2003340 2404008 2671120 3005010 4006680 4808016 6010020 8013360 12020040 24040080