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71420804 = 22713375303
BaseRepresentation
bin1000100000111…
…00101110000100
311222101112220222
410100130232010
5121240431204
611030443512
71525031630
oct420345604
9158345828
1071420804
1137351564
121bb03598
1311a48440
1496b1dc0
15640babe
hex441cb84

71420804 has 48 divisors (see below), whose sum is σ = 158016768. Its totient is φ = 27485568.

The previous prime is 71420803. The next prime is 71420827. The reversal of 71420804 is 40802417.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (71420803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10817 + ... + 16119.

It is an arithmetic number, because the mean of its divisors is an integer number (3292016).

Almost surely, 271420804 is an apocalyptic number.

71420804 is a gapful number since it is divisible by the number (74) 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 71420804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79008384).

71420804 is an abundant number, since it is smaller than the sum of its proper divisors (86595964).

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

71420804 is a wasteful number, since it uses less digits than its factorization.

71420804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 71420804 is about 8451.0830075204. The cubic root of 71420804 is about 414.8982263618.

The spelling of 71420804 in words is "seventy-one million, four hundred twenty thousand, eight hundred four".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 962 1036 1924 3367 5303 6734 10606 13468 21212 37121 68939 74242 137878 148484 196211 275756 392422 482573 784844 965146 1373477 1930292 2550743 2746954 5101486 5493908 10202972 17855201 35710402 71420804