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71245136 = 24191311789
BaseRepresentation
bin1000011111100…
…01110101010000
311222001121221202
410033301311100
5121214321021
611023010332
71523400524
oct417616520
9158047852
1071245136
1137241586
121ba399a8
13119b64b1
149667d84
1563c4a0b
hex43f1d50

71245136 has 40 divisors (see below), whose sum is σ = 146493600. Its totient is φ = 33471360.

The previous prime is 71245129. The next prime is 71245157. The reversal of 71245136 is 63154217.

It is a junction number, because it is equal to n+sod(n) for n = 71245099 and 71245108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38930 + ... + 40718.

It is an arithmetic number, because the mean of its divisors is an integer number (3662340).

Almost surely, 271245136 is an apocalyptic number.

71245136 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71245136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73246800).

71245136 is an abundant number, since it is smaller than the sum of its proper divisors (75248464).

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

71245136 is a wasteful number, since it uses less digits than its factorization.

71245136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1941 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 71245136 is about 8440.6833846555. The cubic root of 71245136 is about 414.5577831705.

The spelling of 71245136 in words is "seventy-one million, two hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 131 152 262 304 524 1048 1789 2096 2489 3578 4978 7156 9956 14312 19912 28624 33991 39824 67982 135964 234359 271928 468718 543856 937436 1874872 3749744 4452821 8905642 17811284 35622568 71245136