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71045120 = 21253469
BaseRepresentation
bin1000011110000…
…01000000000000
311221200110120202
410033001000000
5121141420440
611014424332
71521605426
oct417010000
9157613522
1071045120
1137115283
121b9620a8
1311946443
149615116
156385615
hex43c1000

71045120 has 52 divisors (see below), whose sum is σ = 170536620. Its totient is φ = 28409856.

The previous prime is 71045081. The next prime is 71045131. The reversal of 71045120 is 2154017.

It can be written as a sum of positive squares in 2 ways, for example, as 11075584 + 59969536 = 3328^2 + 7744^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 71045092 and 71045101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18746 + ... + 22214.

Almost surely, 271045120 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 71045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85268310).

71045120 is an abundant number, since it is smaller than the sum of its proper divisors (99491500).

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

71045120 is an equidigital number, since it uses as much as digits as its factorization.

71045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 71045120 is about 8428.8267273684. The cubic root of 71045120 is about 414.1694717186.

Adding to 71045120 its reverse (2154017), we get a palindrome (73199137).

The spelling of 71045120 in words is "seventy-one million, forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3469 4096 5120 6938 10240 13876 17345 20480 27752 34690 55504 69380 111008 138760 222016 277520 444032 555040 888064 1110080 1776128 2220160 3552256 4440320 7104512 8880640 14209024 17761280 35522560 71045120