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18299040 = 253567569
BaseRepresentation
bin100010111001…
…1100010100000
31021102200120020
41011303202200
514141032130
61452113440
7311352654
oct105634240
937380506
1018299040
11a369381
126165880
133a39146
142604a64
151916e10
hex11738a0

18299040 has 96 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 4798464.

The previous prime is 18299011. The next prime is 18299041. The reversal of 18299040 is 4099281.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 18298992 and 18299010.

It is not an unprimeable number, because it can be changed into a prime (18299041) 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, 31876 + ... + 32444.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 218299040 is an apocalyptic number.

18299040 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 18299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560).

18299040 is an abundant number, since it is smaller than the sum of its proper divisors (40306080).

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

18299040 is a wasteful number, since it uses less digits than its factorization.

18299040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 18299040 is about 4277.7377198702. The cubic root of 18299040 is about 263.5174841103.

The spelling of 18299040 in words is "eighteen million, two hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 569 670 804 1005 1072 1138 1340 1608 1707 2010 2144 2276 2680 2845 3216 3414 4020 4552 5360 5690 6432 6828 8040 8535 9104 10720 11380 13656 16080 17070 18208 22760 27312 32160 34140 38123 45520 54624 68280 76246 91040 114369 136560 152492 190615 228738 273120 304984 381230 457476 571845 609968 762460 914952 1143690 1219936 1524920 1829904 2287380 3049840 3659808 4574760 6099680 9149520 18299040