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66969000 = 23325371063
BaseRepresentation
bin1111111101110…
…1110110101000
311200000101012100
43333131312220
5114121002000
610351213400
71442140620
oct377356650
9150011170
1066969000
113489088a
121a517260
1310b4a037
148c73880
155d2ca00
hex3fddda8

66969000 has 192 divisors, whose sum is σ = 258935040. Its totient is φ = 15292800.

The previous prime is 66968981. The next prime is 66969013. The reversal of 66969000 is 96966.

It is a super-2 number, since 2×669690002 = 8969693922000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62469 + ... + 63531.

It is an arithmetic number, because the mean of its divisors is an integer number (1348620).

Almost surely, 266969000 is an apocalyptic number.

66969000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129467520).

66969000 is an abundant number, since it is smaller than the sum of its proper divisors (191966040).

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

66969000 is a wasteful number, since it uses less digits than its factorization.

66969000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 66969000 is about 8183.4589263954. The cubic root of 66969000 is about 406.0921595895.

The spelling of 66969000 in words is "sixty-six million, nine hundred sixty-nine thousand".