Search a number
-
+
71055240 = 23351761571
BaseRepresentation
bin1000011110000…
…11011110001000
311221200222110120
410033003132020
5121142231430
611014543240
71521650064
oct417033610
9157628416
1071055240
1137121943
121b967b20
131194ac29
149618aa4
156388610
hex43c3788

71055240 has 128 divisors (see below), whose sum is σ = 229806720. Its totient is φ = 17510400.

The previous prime is 71055239. The next prime is 71055251. The reversal of 71055240 is 4255017.

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 71055240.

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, 124155 + ... + 124725.

It is an arithmetic number, because the mean of its divisors is an integer number (1795365).

Almost surely, 271055240 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 71055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

71055240 is an abundant number, since it is smaller than the sum of its proper divisors (158751480).

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

71055240 is a wasteful number, since it uses less digits than its factorization.

71055240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 71055240 is about 8429.4270267913. The cubic root of 71055240 is about 414.1891361988.

The spelling of 71055240 in words is "seventy-one million, fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 61 68 85 102 120 122 136 170 183 204 244 255 305 340 366 408 488 510 571 610 680 732 915 1020 1037 1142 1220 1464 1713 1830 2040 2074 2284 2440 2855 3111 3426 3660 4148 4568 5185 5710 6222 6852 7320 8296 8565 9707 10370 11420 12444 13704 15555 17130 19414 20740 22840 24888 29121 31110 34260 34831 38828 41480 48535 58242 62220 68520 69662 77656 97070 104493 116484 124440 139324 145605 174155 194140 208986 232968 278648 291210 348310 388280 417972 522465 582420 592127 696620 835944 1044930 1164840 1184254 1393240 1776381 2089860 2368508 2960635 3552762 4179720 4737016 5921270 7105524 8881905 11842540 14211048 17763810 23685080 35527620 71055240