Search a number
-
+
66997476 = 223371317401
BaseRepresentation
bin1111111110010…
…0110011100100
311200001211021000
43333210303210
5114122404401
610351553300
71442316630
oct377446344
9150054230
1066997476
1134900217
121a52b830
1310b59ca0
148c7ddc0
155d36186
hex3fe4ce4

66997476 has 192 divisors, whose sum is σ = 226920960. Its totient is φ = 16588800.

The previous prime is 66997471. The next prime is 66997487. The reversal of 66997476 is 67479966.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66997471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166876 + ... + 167276.

It is an arithmetic number, because the mean of its divisors is an integer number (1181880).

Almost surely, 266997476 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 66997476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113460480).

66997476 is an abundant number, since it is smaller than the sum of its proper divisors (159923484).

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

66997476 is a wasteful number, since it uses less digits than its factorization.

66997476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 66997476 is about 8185.1985925816. The cubic root of 66997476 is about 406.1497098077.

The spelling of 66997476 in words is "sixty-six million, nine hundred ninety-seven thousand, four hundred seventy-six".