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66108528 = 24331371117
BaseRepresentation
bin1111110000101…
…1110001110000
311121101122212000
43330023301300
5113410433103
610320534000
71431625143
oct374136160
9147348760
1066108528
1134353352
121a181300
1310908495
148acc05a
155c0caa3
hex3f0bc70

66108528 has 80 divisors (see below), whose sum is σ = 191312160. Its totient is φ = 21855744.

The previous prime is 66108521. The next prime is 66108533. The reversal of 66108528 is 82580166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66108492 and 66108501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66108521) 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, 58626 + ... + 59742.

It is an arithmetic number, because the mean of its divisors is an integer number (2391402).

Almost surely, 266108528 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 66108528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95656080).

66108528 is an abundant number, since it is smaller than the sum of its proper divisors (125203632).

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

66108528 is a wasteful number, since it uses less digits than its factorization.

66108528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 66108528 is about 8130.7150977020. The cubic root of 66108528 is about 404.3453896971.

The spelling of 66108528 in words is "sixty-six million, one hundred eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 411 432 548 822 1096 1117 1233 1644 2192 2234 2466 3288 3351 3699 4468 4932 6576 6702 7398 8936 9864 10053 13404 14796 17872 19728 20106 26808 29592 30159 40212 53616 59184 60318 80424 120636 153029 160848 241272 306058 459087 482544 612116 918174 1224232 1377261 1836348 2448464 2754522 3672696 4131783 5509044 7345392 8263566 11018088 16527132 22036176 33054264 66108528