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66130152 = 233112310891
BaseRepresentation
bin1111110001000…
…1000011101000
311121102202111220
43330101003220
5113412131102
610321222040
71432045164
oct374210350
9147382456
1066130152
1134368620
121a191920
131091528a
148ad5ca4
155c141bc
hex3f110e8

66130152 has 64 divisors (see below), whose sum is σ = 188213760. Its totient is φ = 19166400.

The previous prime is 66130147. The next prime is 66130157. The reversal of 66130152 is 25103166.

It is an interprime number because it is at equal distance from previous prime (66130147) and next prime (66130157).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (66130157) 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, 627 + ... + 11517.

It is an arithmetic number, because the mean of its divisors is an integer number (2940840).

Almost surely, 266130152 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 66130152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94106880).

66130152 is an abundant number, since it is smaller than the sum of its proper divisors (122083608).

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

66130152 is a wasteful number, since it uses less digits than its factorization.

66130152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934 (or 10930 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66130152 is about 8132.0447613131. The cubic root of 66130152 is about 404.3894718139.

The spelling of 66130152 in words is "sixty-six million, one hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 10891 21782 32673 43564 65346 87128 119801 130692 239602 250493 261384 359403 479204 500986 718806 751479 958408 1001972 1437612 1502958 2003944 2755423 2875224 3005916 5510846 6011832 8266269 11021692 16532538 22043384 33065076 66130152