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271230440 = 235132232339
BaseRepresentation
bin10000001010101…
…010010111101000
3200220100221012212
4100022222113220
51023413333230
642525224252
76502264205
oct2012522750
9626327185
10271230440
1112a114498
1276a02088
1344266bb0
1428044cac
1518c29895
hex102aa5e8

271230440 has 64 divisors (see below), whose sum is σ = 660441600. Its totient is φ = 99654912.

The previous prime is 271230431. The next prime is 271230469. The reversal of 271230440 is 44032172.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114791 + ... + 117129.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2271230440 is an apocalyptic number.

271230440 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 271230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

271230440 is an abundant number, since it is smaller than the sum of its proper divisors (389211160).

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

271230440 is a wasteful number, since it uses less digits than its factorization.

271230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 271230440 is about 16469.0752624426. The cubic root of 271230440 is about 647.3107351205.

The spelling of 271230440 in words is "two hundred seventy-one million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 223 260 446 520 892 1115 1784 2230 2339 2899 4460 4678 5798 8920 9356 11596 11695 14495 18712 23192 23390 28990 30407 46780 57980 60814 93560 115960 121628 152035 243256 304070 521597 608140 1043194 1216280 2086388 2607985 4172776 5215970 6780761 10431940 13561522 20863880 27123044 33903805 54246088 67807610 135615220 271230440