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18672440 = 2351979311
BaseRepresentation
bin100011100111…
…0101100111000
31022010122202212
41013032230320
514240004230
61504114252
7314466413
oct107165470
938118685
1018672440
11a5a3976
126305988
133b3a0a7
1426a0b7a
15198c895
hex11ceb38

18672440 has 64 divisors (see below), whose sum is σ = 44928000. Its totient is φ = 6963840.

The previous prime is 18672419. The next prime is 18672461. The reversal of 18672440 is 4427681.

It is an interprime number because it is at equal distance from previous prime (18672419) and next prime (18672461).

It is a junction number, because it is equal to n+sod(n) for n = 18672397 and 18672406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59885 + ... + 60195.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 218672440 is an apocalyptic number.

18672440 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 18672440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464000).

18672440 is an abundant number, since it is smaller than the sum of its proper divisors (26255560).

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

18672440 is a wasteful number, since it uses less digits than its factorization.

18672440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 18672440 is about 4321.1618807909. The cubic root of 18672440 is about 265.2978258308.

The spelling of 18672440 in words is "eighteen million, six hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 311 316 380 395 622 632 760 790 1244 1501 1555 1580 2488 3002 3110 3160 5909 6004 6220 7505 11818 12008 12440 15010 23636 24569 29545 30020 47272 49138 59090 60040 98276 118180 122845 196552 236360 245690 466811 491380 933622 982760 1867244 2334055 3734488 4668110 9336220 18672440