Search a number
-
+
71488560 = 243511132083
BaseRepresentation
bin1000100001011…
…01010000110000
311222111222212110
410100231100300
5121300113220
611032125320
71525433313
oct420552060
9158458773
1071488560
1137398460
121bb36840
1311a70230
1496cc97a
156421be0
hex442d430

71488560 has 160 divisors (see below), whose sum is σ = 260483328. Its totient is φ = 15989760.

The previous prime is 71488517. The next prime is 71488579. The reversal of 71488560 is 6588417.

It is a super-2 number, since 2×714885602 = 10221228421747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33279 + ... + 35361.

Almost surely, 271488560 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 71488560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130241664).

71488560 is an abundant number, since it is smaller than the sum of its proper divisors (188994768).

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

71488560 is a wasteful number, since it uses less digits than its factorization.

71488560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 71488560 is about 8455.0907742022. The cubic root of 71488560 is about 415.0293877674.

The spelling of 71488560 in words is "seventy-one million, four hundred eighty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2083 2145 2288 2640 2860 3120 3432 4166 4290 5720 6249 6864 8332 8580 10415 11440 12498 16664 17160 20830 22913 24996 27079 31245 33328 34320 41660 45826 49992 54158 62490 68739 81237 83320 91652 99984 108316 114565 124980 135395 137478 162474 166640 183304 216632 229130 249960 270790 274956 297869 324948 343695 366608 406185 433264 458260 499920 541580 549912 595738 649896 687390 812370 893607 916520 1083160 1099824 1191476 1299792 1374780 1489345 1624740 1787214 1833040 2166320 2382952 2749560 2978690 3249480 3574428 4468035 4765904 5499120 5957380 6498960 7148856 8936070 11914760 14297712 17872140 23829520 35744280 71488560