Search a number
-
+
66994920 = 23325186097
BaseRepresentation
bin1111111110010…
…0001011101000
311200001200202100
43333210023220
5114122314140
610351533400
71442306316
oct377441350
9150050670
1066994920
11348a9303
121a52a260
1310b58a85
148c7d0b6
155d35530
hex3fe42e8

66994920 has 48 divisors (see below), whose sum is σ = 217734660. Its totient is φ = 17865216.

The previous prime is 66994891. The next prime is 66994927. The reversal of 66994920 is 2949966.

It can be written as a sum of positive squares in 2 ways, for example, as 66683556 + 311364 = 8166^2 + 558^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66994927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92689 + ... + 93408.

Almost surely, 266994920 is an apocalyptic number.

66994920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66994920 is an abundant number, since it is smaller than the sum of its proper divisors (150739740).

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

66994920 is a wasteful number, since it uses less digits than its factorization.

66994920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186114 (or 186107 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 66994920 is about 8185.0424556016. The cubic root of 66994920 is about 406.1445447780.

The spelling of 66994920 in words is "sixty-six million, nine hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 186097 372194 558291 744388 930485 1116582 1488776 1674873 1860970 2233164 2791455 3349746 3721940 4466328 5582910 6699492 7443880 8374365 11165820 13398984 16748730 22331640 33497460 66994920