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27014148 = 2234743277
BaseRepresentation
bin110011100001…
…1010000000100
31212211110110000
41213003100010
523403423043
62403001300
7445421310
oct147032004
955743400
1027014148
1114281147
129069230
13579ac05
143832b40
1525892d3
hex19c3404

27014148 has 120 divisors (see below), whose sum is σ = 82884032. Its totient is φ = 7511616.

The previous prime is 27014137. The next prime is 27014149. The reversal of 27014148 is 84141072.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27014149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97386 + ... + 97662.

Almost surely, 227014148 is an apocalyptic number.

27014148 is a gapful number since it is divisible by the number (28) 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 27014148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41442016).

27014148 is an abundant number, since it is smaller than the sum of its proper divisors (55869884).

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

27014148 is a wasteful number, since it uses less digits than its factorization.

27014148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 27014148 is about 5197.5136363457. The cubic root of 27014148 is about 300.0523908501.

The spelling of 27014148 in words is "twenty-seven million, fourteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 81 84 86 108 126 129 162 172 189 252 258 277 301 324 378 387 516 554 567 602 756 774 831 903 1108 1134 1161 1204 1548 1662 1806 1939 2268 2322 2493 2709 3324 3483 3612 3878 4644 4986 5418 5817 6966 7479 7756 8127 9972 10836 11634 11911 13932 14958 16254 17451 22437 23268 23822 24381 29916 32508 34902 35733 44874 47644 48762 52353 69804 71466 83377 89748 97524 104706 107199 142932 157059 166754 209412 214398 250131 314118 321597 333508 428796 500262 628236 643194 750393 964791 1000524 1286388 1500786 1929582 2251179 3001572 3859164 4502358 6753537 9004716 13507074 27014148