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71244960 = 2535178731
BaseRepresentation
bin1000011111100…
…01110010100000
311222001121201020
410033301302200
5121214314320
611023005440
71523400153
oct417616240
9158047636
1071244960
1137241436
121ba39880
13119b63a7
149667c9a
1563c4940
hex43f1ca0

71244960 has 96 divisors (see below), whose sum is σ = 237650112. Its totient is φ = 17879040.

The previous prime is 71244947. The next prime is 71244973. The reversal of 71244960 is 6944217.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71244947) and next prime (71244973).

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, 3795 + ... + 12525.

It is an arithmetic number, because the mean of its divisors is an integer number (2475522).

Almost surely, 271244960 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 71244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118825056).

71244960 is an abundant number, since it is smaller than the sum of its proper divisors (166405152).

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

71244960 is a wasteful number, since it uses less digits than its factorization.

71244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 71244960 is about 8440.6729589530. The cubic root of 71244960 is about 414.5574418034.

The spelling of 71244960 in words is "seventy-one million, two hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 8731 17462 26193 34924 43655 52386 69848 87310 104772 130965 139696 148427 174620 209544 261930 279392 296854 349240 419088 445281 523860 593708 698480 742135 838176 890562 1047720 1187416 1396960 1484270 1781124 2095440 2226405 2374832 2968540 3562248 4190880 4452810 4749664 5937080 7124496 8905620 11874160 14248992 17811240 23748320 35622480 71244960