Search a number
-
+
71230264 = 23723291907
BaseRepresentation
bin1000011111011…
…10001100111000
311222000212112221
410033232030320
5121213332024
611022413424
71523306260
oct417561470
9158025487
1071230264
1137231396
121ba31274
13119ac7b1
1496627a0
1563c03e4
hex43ee338

71230264 has 64 divisors (see below), whose sum is σ = 164851200. Its totient is φ = 28178304.

The previous prime is 71230199. The next prime is 71230277. The reversal of 71230264 is 46203217.

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, 36399 + ... + 38305.

It is an arithmetic number, because the mean of its divisors is an integer number (2575800).

Almost surely, 271230264 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 71230264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82425600).

71230264 is an abundant number, since it is smaller than the sum of its proper divisors (93620936).

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

71230264 is a wasteful number, since it uses less digits than its factorization.

71230264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 71230264 is about 8439.8023673543. The cubic root of 71230264 is about 414.5289356695.

It can be divided in two parts, 712 and 30264, that added together give a square (30976 = 1762).

The spelling of 71230264 in words is "seventy-one million, two hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 23 28 29 46 56 58 92 116 161 184 203 232 322 406 644 667 812 1288 1334 1624 1907 2668 3814 4669 5336 7628 9338 13349 15256 18676 26698 37352 43861 53396 55303 87722 106792 110606 175444 221212 307027 350888 387121 442424 614054 774242 1228108 1271969 1548484 2456216 2543938 3096968 5087876 8903783 10175752 17807566 35615132 71230264