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271432020 = 2235127179199
BaseRepresentation
bin10000001011011…
…011100101010100
3200220202011201210
4100023123211110
51023441311040
642533421420
76504063666
oct2013334524
9626664653
10271432020
1112a241992
1276a9a870
1344307882
1428098536
1518c69480
hex102db954

271432020 has 96 divisors (see below), whose sum is σ = 774144000. Its totient is φ = 71051904.

The previous prime is 271432019. The next prime is 271432067. The reversal of 271432020 is 20234172.

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, 1363881 + ... + 1364079.

It is an arithmetic number, because the mean of its divisors is an integer number (8064000).

Almost surely, 2271432020 is an apocalyptic number.

271432020 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 271432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072000).

271432020 is an abundant number, since it is smaller than the sum of its proper divisors (502711980).

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

271432020 is a wasteful number, since it uses less digits than its factorization.

271432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 271432020 is about 16475.1940807992. The cubic root of 271432020 is about 647.4710570785.

Adding to 271432020 its reverse (20234172), we get a palindrome (291666192).

The spelling of 271432020 in words is "two hundred seventy-one million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 179 199 254 358 381 398 508 537 597 635 716 762 796 895 995 1074 1194 1270 1524 1790 1905 1990 2148 2388 2540 2685 2985 3580 3810 3980 5370 5970 7620 10740 11940 22733 25273 35621 45466 50546 68199 71242 75819 90932 101092 106863 113665 126365 136398 142484 151638 178105 213726 227330 252730 272796 303276 340995 356210 379095 427452 454660 505460 534315 681990 712420 758190 1068630 1363980 1516380 2137260 4523867 9047734 13571601 18095468 22619335 27143202 45238670 54286404 67858005 90477340 135716010 271432020