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66990132 = 2233111731107
BaseRepresentation
bin1111111110001…
…1000000110100
311200001110012000
43333203000310
5114122141012
610351455300
71442256336
oct377430064
9150043160
1066990132
11348a5750
121a527530
1310b56841
148c7b456
155d33ddc
hex3fe3034

66990132 has 192 divisors, whose sum is σ = 209018880. Its totient is φ = 18316800.

The previous prime is 66990127. The next prime is 66990137. The reversal of 66990132 is 23109966.

It is an interprime number because it is at equal distance from previous prime (66990127) and next prime (66990137).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66990137) 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, 626023 + ... + 626129.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 266990132 is an apocalyptic number.

66990132 is a gapful number since it is divisible by the number (62) 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 66990132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

66990132 is an abundant number, since it is smaller than the sum of its proper divisors (142028748).

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

66990132 is a wasteful number, since it uses less digits than its factorization.

66990132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

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

The square root of 66990132 is about 8184.7499656373. The cubic root of 66990132 is about 406.1348690871.

The spelling of 66990132 in words is "sixty-six million, nine hundred ninety thousand, one hundred thirty-two".