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71404320 = 25351311443
BaseRepresentation
bin1000100000110…
…00101100100000
311222100201022110
410100120230200
5121234414240
611030235320
71524632601
oct420305440
9158321273
1071404320
1137340139
121bab5b40
1311a40aa0
1496a9da8
156406c80
hex4418b20

71404320 has 96 divisors (see below), whose sum is σ = 242246592. Its totient is φ = 17574912.

The previous prime is 71404283. The next prime is 71404349. The reversal of 71404320 is 2340417.

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

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, 519 + ... + 11961.

It is an arithmetic number, because the mean of its divisors is an integer number (2523402).

Almost surely, 271404320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121123296).

71404320 is an abundant number, since it is smaller than the sum of its proper divisors (170842272).

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

71404320 is a wasteful number, since it uses less digits than its factorization.

71404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474 (or 11466 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 71404320 is about 8450.1076916215. The cubic root of 71404320 is about 414.8663042504.

Adding to 71404320 its reverse (2340417), we get a palindrome (73744737).

The spelling of 71404320 in words is "seventy-one million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 11443 22886 34329 45772 57215 68658 91544 114430 137316 148759 171645 183088 228860 274632 297518 343290 366176 446277 457720 549264 595036 686580 743795 892554 915440 1098528 1190072 1373160 1487590 1785108 1830880 2231385 2380144 2746320 2975180 3570216 4462770 4760288 5492640 5950360 7140432 8925540 11900720 14280864 17851080 23801440 35702160 71404320