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18269640 = 23325192671
BaseRepresentation
bin100010110110…
…0010111001000
31021101012020100
41011230113020
514134112030
61451325400
7311201154
oct105542710
937335210
1018269640
11a349284
126150860
133a2894c
1425d8064
15190d360
hex116c5c8

18269640 has 96 divisors (see below), whose sum is σ = 62524800. Its totient is φ = 4613760.

The previous prime is 18269639. The next prime is 18269663. The reversal of 18269640 is 4696281.

18269640 is a `hidden beast` number, since 1 + 8 + 2 + 6 + 9 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18269595 and 18269604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5505 + ... + 8175.

It is an arithmetic number, because the mean of its divisors is an integer number (651300).

Almost surely, 218269640 is an apocalyptic number.

18269640 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 18269640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31262400).

18269640 is an abundant number, since it is smaller than the sum of its proper divisors (44255160).

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

18269640 is a wasteful number, since it uses less digits than its factorization.

18269640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 18269640 is about 4274.2999426807. The cubic root of 18269640 is about 263.3762824070.

The spelling of 18269640 in words is "eighteen million, two hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 2671 3420 5342 6840 8013 10684 13355 16026 21368 24039 26710 32052 40065 48078 50749 53420 64104 80130 96156 101498 106840 120195 152247 160260 192312 202996 240390 253745 304494 320520 405992 456741 480780 507490 608988 761235 913482 961560 1014980 1217976 1522470 1826964 2029960 2283705 3044940 3653928 4567410 6089880 9134820 18269640