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18712064 = 29723227
BaseRepresentation
bin100011101100…
…0011000000000
31022012200010102
41013120120000
514242241224
61505021532
7315023060
oct107303000
938180112
1018712064
11a620718
1263248a8
133b52137
1426b13a0
1519994ae
hex11d8600

18712064 has 80 divisors (see below), whose sum is σ = 44782848. Its totient is φ = 7636992.

The previous prime is 18712061. The next prime is 18712069. The reversal of 18712064 is 46021781.

18712064 = T167 + T168 + ... + T488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18712061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82319 + ... + 82545.

Almost surely, 218712064 is an apocalyptic number.

18712064 is a gapful number since it is divisible by the number (14) 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 18712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391424).

18712064 is an abundant number, since it is smaller than the sum of its proper divisors (26070784).

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

18712064 is an equidigital number, since it uses as much as digits as its factorization.

18712064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 18712064 is about 4325.7443290144. The cubic root of 18712064 is about 265.4853523672.

The spelling of 18712064 in words is "eighteen million, seven hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 227 256 322 368 448 454 512 644 736 896 908 1288 1472 1589 1792 1816 2576 2944 3178 3584 3632 5152 5221 5888 6356 7264 10304 10442 11776 12712 14528 20608 20884 25424 29056 36547 41216 41768 50848 58112 73094 82432 83536 101696 116224 146188 167072 203392 292376 334144 406784 584752 668288 813568 1169504 1336576 2339008 2673152 4678016 9356032 18712064