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271015420 = 2251373109131
BaseRepresentation
bin10000001001110…
…101110111111100
3200212222000021011
4100021311313330
51023334443140
642520445004
76500410264
oct2011656774
9625860234
10271015420
11129a87995
1276919764
13441c0070
1427dca7a4
1518bd5cea
hex10275dfc

271015420 has 96 divisors (see below), whose sum is σ = 631794240. Its totient is φ = 97044480.

The previous prime is 271015403. The next prime is 271015427. The reversal of 271015420 is 24510172.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 271015391 and 271015400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271015427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2068755 + ... + 2068885.

It is an arithmetic number, because the mean of its divisors is an integer number (6581190).

Almost surely, 2271015420 is an apocalyptic number.

271015420 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 271015420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315897120).

271015420 is an abundant number, since it is smaller than the sum of its proper divisors (360778820).

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

271015420 is a wasteful number, since it uses less digits than its factorization.

271015420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 271015420 is about 16462.5459756382. The cubic root of 271015420 is about 647.1396363918.

Adding to 271015420 its reverse (24510172), we get a palindrome (295525592).

The spelling of 271015420 in words is "two hundred seventy-one million, fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 109 130 131 146 218 260 262 292 365 436 524 545 655 730 949 1090 1310 1417 1460 1703 1898 2180 2620 2834 3406 3796 4745 5668 6812 7085 7957 8515 9490 9563 14170 14279 15914 17030 18980 19126 28340 28558 31828 34060 38252 39785 47815 57116 71395 79570 95630 103441 124319 142790 159140 185627 191260 206882 248638 285580 371254 413764 497276 517205 621595 742508 928135 1034410 1042367 1243190 1856270 2068820 2084734 2486380 3712540 4169468 5211835 10423670 13550771 20847340 27101542 54203084 67753855 135507710 271015420