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18070080 = 263572689
BaseRepresentation
bin100010011101…
…1101001000000
31021000001111020
41010323221000
514111220310
61443145440
7306410310
oct104735100
937001436
1018070080
11a222356
126075280
133988b72
142585440
1518be170
hex113ba40

18070080 has 112 divisors (see below), whose sum is σ = 65592960. Its totient is φ = 4128768.

The previous prime is 18070069. The next prime is 18070081. The reversal of 18070080 is 8007081.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18070080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18070081) 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, 5376 + ... + 8064.

Almost surely, 218070080 is an apocalyptic number.

18070080 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 18070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32796480).

18070080 is an abundant number, since it is smaller than the sum of its proper divisors (47522880).

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

18070080 is a wasteful number, since it uses less digits than its factorization.

18070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 18070080 is about 4250.8916711674. The cubic root of 18070080 is about 262.4138129750.

The spelling of 18070080 in words is "eighteen million, seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 2689 3360 5378 6720 8067 10756 13445 16134 18823 21512 26890 32268 37646 40335 43024 53780 56469 64536 75292 80670 86048 94115 107560 112938 129072 150584 161340 172096 188230 215120 225876 258144 282345 301168 322680 376460 430240 451752 516288 564690 602336 645360 752920 860480 903504 1129380 1204672 1290720 1505840 1807008 2258760 2581440 3011680 3614016 4517520 6023360 9035040 18070080