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71620125 = 353331577
BaseRepresentation
bin1000100010011…
…01011000011101
311222202200100020
410101031120131
5121313321000
611035022353
71526522013
oct421153035
9158680306
1071620125
1137478295
121bb9a9b9
1311ab8095
1497248b3
15644aba0
hex444d61d

71620125 has 32 divisors (see below), whose sum is σ = 119743104. Its totient is φ = 38016000.

The previous prime is 71620117. The next prime is 71620147. The reversal of 71620125 is 52102617.

It is not a de Polignac number, because 71620125 - 23 = 71620117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71620095 and 71620104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123837 + ... + 124413.

It is an arithmetic number, because the mean of its divisors is an integer number (3741972).

Almost surely, 271620125 is an apocalyptic number.

71620125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71620125 is a deficient number, since it is larger than the sum of its proper divisors (48122979).

71620125 is a wasteful number, since it uses less digits than its factorization.

71620125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 71620125 is about 8462.8674218612. The cubic root of 71620125 is about 415.2838335087.

The spelling of 71620125 in words is "seventy-one million, six hundred twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 331 375 577 993 1655 1731 2885 4965 8275 8655 14425 24825 41375 43275 72125 124125 190987 216375 572961 954935 2864805 4774675 14324025 23873375 71620125