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71386960 = 2452273931
BaseRepresentation
bin1000100000101…
…00011101010000
311222022211111111
410100110131100
5121233340320
611030023104
71524531151
oct420243520
9158284444
1071386960
1137329097
121baa7a94
1311a35c08
1496a3928
156401a5a
hex4414750

71386960 has 40 divisors (see below), whose sum is σ = 166748256. Its totient is φ = 28421760.

The previous prime is 71386957. The next prime is 71386967. The reversal of 71386960 is 6968317.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71386967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16195 + ... + 20125.

Almost surely, 271386960 is an apocalyptic number.

It is an amenable number.

71386960 is an abundant number, since it is smaller than the sum of its proper divisors (95361296).

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

71386960 is a wasteful number, since it uses less digits than its factorization.

71386960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 71386960 is about 8449.0804233360. The cubic root of 71386960 is about 414.8326804081.

It can be divided in two parts, 713869 and 60, that multiplied together give a triangular number (42832140 = T9255).

The spelling of 71386960 in words is "seventy-one million, three hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 227 454 908 1135 1816 2270 3632 3931 4540 7862 9080 15724 18160 19655 31448 39310 62896 78620 157240 314480 892337 1784674 3569348 4461685 7138696 8923370 14277392 17846740 35693480 71386960