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271350640 = 245114371101
BaseRepresentation
bin10000001011000…
…111101101110000
3200220121001002201
4100023013231300
51023431210030
642531552544
76503304511
oct2013075560
9626531081
10271350640
1112a196830
1276a5b754
13442a9812
1428076a08
1518c502ca
hex102c7b70

271350640 has 160 divisors (see below), whose sum is σ = 721239552. Its totient is φ = 94080000.

The previous prime is 271350601. The next prime is 271350671. The reversal of 271350640 is 46053172.

It is a junction number, because it is equal to n+sod(n) for n = 271350599 and 271350608.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2686590 + ... + 2686690.

Almost surely, 2271350640 is an apocalyptic number.

271350640 is a gapful number since it is divisible by the number (20) 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 271350640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360619776).

271350640 is an abundant number, since it is smaller than the sum of its proper divisors (449888912).

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

271350640 is a wasteful number, since it uses less digits than its factorization.

271350640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 271350640 is about 16472.7241220145. The cubic root of 271350640 is about 647.4063429481.

The spelling of 271350640 in words is "two hundred seventy-one million, three hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 71 80 86 88 101 110 142 172 176 202 215 220 284 344 355 404 430 440 473 505 568 688 710 781 808 860 880 946 1010 1111 1136 1420 1562 1616 1720 1892 2020 2222 2365 2840 3053 3124 3440 3784 3905 4040 4343 4444 4730 5555 5680 6106 6248 7171 7568 7810 8080 8686 8888 9460 11110 12212 12496 14342 15265 15620 17372 17776 18920 21715 22220 24424 28684 30530 31240 33583 34744 35855 37840 43430 44440 47773 48848 57368 61060 62480 67166 69488 71710 78881 86860 88880 95546 114736 122120 134332 143420 157762 167915 173720 191092 238865 244240 268664 286840 308353 315524 335830 347440 382184 394405 477730 537328 573680 616706 631048 671660 764368 788810 955460 1233412 1262096 1343320 1541765 1577620 1910920 2466824 2686640 3083530 3155240 3391883 3821840 4933648 6167060 6310480 6783766 12334120 13567532 16959415 24668240 27135064 33918830 54270128 67837660 135675320 271350640