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71040480 = 2535721143
BaseRepresentation
bin1000011101111…
…11110111100000
311221200020012220
410032333313200
5121141243410
611014351040
71521556050
oct416776740
9157606186
1071040480
1137111845
121b95b480
13119442b4
149613560
156384070
hex43bfde0

71040480 has 96 divisors (see below), whose sum is σ = 255757824. Its totient is φ = 16237056.

The previous prime is 71040469. The next prime is 71040493. The reversal of 71040480 is 8404017.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71040480.

It is a congruent number.

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, 7212 + ... + 13931.

It is an arithmetic number, because the mean of its divisors is an integer number (2664144).

Almost surely, 271040480 is an apocalyptic number.

71040480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71040480 is an abundant number, since it is smaller than the sum of its proper divisors (184717344).

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

71040480 is a wasteful number, since it uses less digits than its factorization.

71040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21168 (or 21160 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 71040480 is about 8428.5514769740. The cubic root of 71040480 is about 414.1604549690.

Adding to 71040480 its reverse (8404017), we get a palindrome (79444497).

The spelling of 71040480 in words is "seventy-one million, forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 21143 42286 63429 84572 105715 126858 148001 169144 211430 253716 296002 317145 338288 422860 444003 507432 592004 634290 676576 740005 845720 888006 1014864 1184008 1268580 1480010 1691440 1776012 2029728 2220015 2368016 2537160 2960020 3382880 3552024 4440030 4736032 5074320 5920040 7104048 8880060 10148640 11840080 14208096 17760120 23680160 35520240 71040480