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66590380 = 22529237107
BaseRepresentation
bin1111111000000…
…1011010101100
311122022010211101
43332001122230
5114021343010
610335132444
71436003023
oct376013254
9148263741
1066590380
113465237a
121a374124
1310a468bc
148bb58ba
155ca573a
hex3f816ac

66590380 has 72 divisors (see below), whose sum is σ = 150132528. Its totient is φ = 24788736.

The previous prime is 66590371. The next prime is 66590401. The reversal of 66590380 is 8309566.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622287 + ... + 622393.

It is an arithmetic number, because the mean of its divisors is an integer number (2085174).

Almost surely, 266590380 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 66590380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75066264).

66590380 is an abundant number, since it is smaller than the sum of its proper divisors (83542148).

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

66590380 is a wasteful number, since it uses less digits than its factorization.

66590380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 66590380 is about 8160.2928869006. The cubic root of 66590380 is about 405.3254103681.

The spelling of 66590380 in words is "sixty-six million, five hundred ninety thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 37 58 74 107 116 145 148 185 214 290 370 428 535 580 740 841 1070 1073 1682 2140 2146 3103 3364 3959 4205 4292 5365 6206 7918 8410 10730 12412 15515 15836 16820 19795 21460 31030 31117 39590 62060 62234 79180 89987 114811 124468 155585 179974 229622 311170 359948 449935 459244 574055 622340 899870 1148110 1799740 2296220 3329519 6659038 13318076 16647595 33295190 66590380