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71404760 = 23572172143
BaseRepresentation
bin1000100000110…
…00110011011000
311222100201220202
410100120303120
5121234423020
611030241332
71524634100
oct420306330
9158321822
1071404760
11373404a9
121bab6248
1311a4104b
1496aa200
156406e75
hex4418cd8

71404760 has 96 divisors (see below), whose sum is σ = 197976960. Its totient is φ = 23030784.

The previous prime is 71404759. The next prime is 71404769. The reversal of 71404760 is 6740417.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71404769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32249 + ... + 34391.

It is an arithmetic number, because the mean of its divisors is an integer number (2062260).

Almost surely, 271404760 is an apocalyptic number.

71404760 is a gapful number since it is divisible by the number (70) 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 71404760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98988480).

71404760 is an abundant number, since it is smaller than the sum of its proper divisors (126572200).

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

71404760 is a wasteful number, since it uses less digits than its factorization.

71404760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 71404760 is about 8450.1337267525. The cubic root of 71404760 is about 414.8671563968.

The spelling of 71404760 in words is "seventy-one million, four hundred four thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2143 2380 3332 4165 4286 4760 6664 8330 8572 10715 15001 16660 17144 21430 30002 33320 36431 42860 60004 72862 75005 85720 105007 120008 145724 150010 182155 210014 255017 291448 300020 364310 420028 510034 525035 600040 728620 840056 1020068 1050070 1275085 1457240 1785119 2040136 2100140 2550170 3570238 4200280 5100340 7140476 8925595 10200680 14280952 17851190 35702380 71404760