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271470080 = 295715149
BaseRepresentation
bin10000001011100…
…100111000000000
3200220211002221102
4100023210320000
51023444020310
642534313532
76504312650
oct2013447000
9626732842
10271470080
1112a268542
1276ab88a8
134431bcab
14280a8360
1518c758a5
hex102e4e00

271470080 has 80 divisors (see below), whose sum is σ = 743925600. Its totient is φ = 93069312.

The previous prime is 271470077. The next prime is 271470097. The reversal of 271470080 is 80074172.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10346 + ... + 25494.

It is an arithmetic number, because the mean of its divisors is an integer number (9299070).

Almost surely, 2271470080 is an apocalyptic number.

271470080 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 271470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371962800).

271470080 is an abundant number, since it is smaller than the sum of its proper divisors (472455520).

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

271470080 is an equidigital number, since it uses as much as digits as its factorization.

271470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15179 (or 15163 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 271470080 is about 16476.3491101639. The cubic root of 271470080 is about 647.5013183040.

The spelling of 271470080 in words is "two hundred seventy-one million, four hundred seventy thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 15149 17920 30298 60596 75745 106043 121192 151490 212086 242384 302980 424172 484768 530215 605960 848344 969536 1060430 1211920 1696688 1939072 2120860 2423840 3393376 3878144 4241720 4847680 6786752 7756288 8483440 9695360 13573504 16966880 19390720 27147008 33933760 38781440 54294016 67867520 135735040 271470080