Search a number
-
+
71570016 = 25327131271
BaseRepresentation
bin1000100010000…
…01001001100000
311222200010121100
410101001021200
5121310220031
611033554400
71526222640
oct421011140
9158603540
1071570016
1137443681
121bb75a00
1311a9b32b
149710520
15643ade6
hex4441260

71570016 has 144 divisors (see below), whose sum is σ = 235243008. Its totient is φ = 20217600.

The previous prime is 71569991. The next prime is 71570029. The reversal of 71570016 is 61007517.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263961 + ... + 264231.

It is an arithmetic number, because the mean of its divisors is an integer number (1633632).

Almost surely, 271570016 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 71570016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117621504).

71570016 is an abundant number, since it is smaller than the sum of its proper divisors (163672992).

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

71570016 is a wasteful number, since it uses less digits than its factorization.

71570016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 71570016 is about 8459.9063824607. The cubic root of 71570016 is about 415.1869598408.

It can be divided in two parts, 715700 and 16, that added together give a square (715716 = 8462).

The spelling of 71570016 in words is "seventy-one million, five hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 131 144 168 224 252 262 271 288 336 393 504 524 542 672 786 813 917 1008 1048 1084 1179 1572 1626 1834 1897 2016 2096 2168 2358 2439 2751 3144 3252 3668 3794 4192 4336 4716 4878 5502 5691 6288 6504 7336 7588 8253 8672 9432 9756 11004 11382 12576 13008 14672 15176 16506 17073 18864 19512 22008 22764 26016 29344 30352 33012 34146 35501 37728 39024 44016 45528 60704 66024 68292 71002 78048 88032 91056 106503 132048 136584 142004 182112 213006 248507 264096 273168 284008 319509 426012 497014 546336 568016 639018 745521 852024 994028 1136032 1278036 1491042 1704048 1988056 2236563 2556072 2982084 3408096 3976112 4473126 5112144 5964168 7952224 8946252 10224288 11928336 17892504 23856672 35785008 71570016