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66125920 = 25571723151
BaseRepresentation
bin1111110001000…
…0000001100000
311121102112201011
43330100001200
5113412012140
610321150304
71432026640
oct374200140
9147375634
1066125920
1134365423
121a18b394
1310913383
148ad4520
155c12cea
hex3f10060

66125920 has 192 divisors, whose sum is σ = 198567936. Its totient is φ = 20275200.

The previous prime is 66125911. The next prime is 66125929. The reversal of 66125920 is 2952166.

It is an interprime number because it is at equal distance from previous prime (66125911) and next prime (66125929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66125929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437845 + ... + 437995.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208).

Almost surely, 266125920 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 66125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99283968).

66125920 is an abundant number, since it is smaller than the sum of its proper divisors (132442016).

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

66125920 is a wasteful number, since it uses less digits than its factorization.

66125920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 66125920 is about 8131.7845519910. The cubic root of 66125920 is about 404.3808453265.

The spelling of 66125920 in words is "sixty-six million, one hundred twenty-five thousand, nine hundred twenty".