Search a number
-
+
66603628 = 22713672731
BaseRepresentation
bin1111111000010…
…0101001101100
311122022211000001
43332010221230
5114022304003
610335314044
71436056450
oct376045154
9148284001
1066603628
1134661323
121a37b924
1310a4c940
148bba660
155ca961d
hex3f84a6c

66603628 has 48 divisors (see below), whose sum is σ = 145648384. Its totient is φ = 25945920.

The previous prime is 66603623. The next prime is 66603629. The reversal of 66603628 is 82630666.

It is not an unprimeable number, because it can be changed into a prime (66603623) 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, 23023 + ... + 25753.

Almost surely, 266603628 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 66603628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72824192).

66603628 is an abundant number, since it is smaller than the sum of its proper divisors (79044756).

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

66603628 is a wasteful number, since it uses less digits than its factorization.

66603628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 66603628 is about 8161.1045821016. The cubic root of 66603628 is about 405.3522880992.

The spelling of 66603628 in words is "sixty-six million, six hundred three thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 67 91 134 182 268 364 469 871 938 1742 1876 2731 3484 5462 6097 10924 12194 19117 24388 35503 38234 71006 76468 142012 182977 248521 365954 497042 731908 994084 1280839 2378701 2561678 4757402 5123356 9514804 16650907 33301814 66603628