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71286240 = 2535148513
BaseRepresentation
bin1000011111110…
…11110111100000
311222010201100010
410033323313200
5121222124430
611023524520
71523631414
oct417736740
9158121303
1071286240
113726a453
121ba59740
13119cc10c
149678d44
1563d1cb0
hex43fbde0

71286240 has 48 divisors (see below), whose sum is σ = 224553168. Its totient is φ = 19009536.

The previous prime is 71286239. The next prime is 71286277. The reversal of 71286240 is 4268217.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 71286198 and 71286207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73777 + ... + 74736.

It is an arithmetic number, because the mean of its divisors is an integer number (4678191).

Almost surely, 271286240 is an apocalyptic number.

It is an amenable number.

71286240 is an abundant number, since it is smaller than the sum of its proper divisors (153266928).

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

71286240 is a wasteful number, since it uses less digits than its factorization.

71286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148531 (or 148523 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 71286240 is about 8443.1179075031. The cubic root of 71286240 is about 414.6374925051.

The spelling of 71286240 in words is "seventy-one million, two hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 148513 297026 445539 594052 742565 891078 1188104 1485130 1782156 2227695 2376208 2970260 3564312 4455390 4752416 5940520 7128624 8910780 11881040 14257248 17821560 23762080 35643120 71286240