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271327068 = 2232193771151
BaseRepresentation
bin10000001011000…
…001111101011100
3200220112211202200
4100023001331130
51023424431233
642531251500
76503146005
oct2013017534
9626484680
10271327068
1112a180051
1276a49b90
134429bb7c
142806c1ac
1518c48313
hex102c1f5c

271327068 has 144 divisors (see below), whose sum is σ = 756887040. Its totient is φ = 81648000.

The previous prime is 271327061. The next prime is 271327073. The reversal of 271327068 is 860723172.

271327068 is a `hidden beast` number, since 271 + 327 + 0 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271327061) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1796793 + ... + 1796943.

It is an arithmetic number, because the mean of its divisors is an integer number (5256160).

Almost surely, 2271327068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271327068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378443520).

271327068 is an abundant number, since it is smaller than the sum of its proper divisors (485559972).

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

271327068 is a wasteful number, since it uses less digits than its factorization.

271327068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 271327068 is about 16472.0086206874. The cubic root of 271327068 is about 647.3875958586.

The spelling of 271327068 in words is "two hundred seventy-one million, three hundred twenty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 71 74 76 111 114 142 148 151 171 213 222 228 284 302 333 342 426 444 453 604 639 666 684 703 852 906 1278 1332 1349 1359 1406 1812 2109 2556 2627 2698 2718 2812 2869 4047 4218 5254 5396 5436 5587 5738 6327 7881 8094 8436 8607 10508 10721 11174 11476 12141 12654 15762 16188 16761 17214 21442 22348 23643 24282 25308 25821 31524 32163 33522 34428 42884 47286 48564 49913 50283 51642 64326 67044 94572 96489 99826 100566 103284 106153 128652 149739 192978 199652 201132 203699 212306 299478 318459 385956 396677 407398 424612 449217 598956 611097 636918 793354 814796 898434 955377 1190031 1222194 1273836 1586708 1796868 1833291 1910754 2380062 2444388 3570093 3666582 3821508 4760124 7140186 7333164 7536863 14280372 15073726 22610589 30147452 45221178 67831767 90442356 135663534 271327068