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18672640 = 21057521
BaseRepresentation
bin100011100111…
…0110000000000
31022010200001021
41013032300000
514240011030
61504115224
7314500120
oct107166000
938120037
1018672640
11a5a4038
126305b14
133b3a1cc
1426a0c80
15198c97a
hex11cec00

18672640 has 88 divisors (see below), whose sum is σ = 51289632. Its totient is φ = 6389760.

The previous prime is 18672637. The next prime is 18672653. The reversal of 18672640 is 4627681.

It is a junction number, because it is equal to n+sod(n) for n = 18672596 and 18672605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35580 + ... + 36100.

Almost surely, 218672640 is an apocalyptic number.

18672640 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 18672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25644816).

18672640 is an abundant number, since it is smaller than the sum of its proper divisors (32616992).

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

18672640 is an equidigital number, since it uses as much as digits as its factorization.

18672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 18672640 is about 4321.1850226529. The cubic root of 18672640 is about 265.2987730267.

The spelling of 18672640 in words is "eighteen million, six hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 521 560 640 896 1024 1042 1120 1280 1792 2084 2240 2560 2605 3584 3647 4168 4480 5120 5210 7168 7294 8336 8960 10420 14588 16672 17920 18235 20840 29176 33344 35840 36470 41680 58352 66688 72940 83360 116704 133376 145880 166720 233408 266752 291760 333440 466816 533504 583520 666880 933632 1167040 1333760 1867264 2334080 2667520 3734528 4668160 9336320 18672640