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12000457 = 719233923
BaseRepresentation
bin101101110001…
…110011001001
3211120200112101
4231301303021
511033003312
61105113401
7204000520
oct55616311
924520471
1012000457
116857137
124028861
132642281
1418454b7
1510c0a57
hexb71cc9

12000457 has 16 divisors (see below), whose sum is σ = 15068160. Its totient is φ = 9318672.

The previous prime is 12000433. The next prime is 12000467. The reversal of 12000457 is 75400021.

It is a cyclic number.

It is not a de Polignac number, because 12000457 - 223 = 3611849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098 + ... + 5020.

It is an arithmetic number, because the mean of its divisors is an integer number (941760).

Almost surely, 212000457 is an apocalyptic number.

It is an amenable number.

12000457 is a deficient number, since it is larger than the sum of its proper divisors (3067703).

12000457 is a wasteful number, since it uses less digits than its factorization.

12000457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 12000457 is about 3464.1675767780. The cubic root of 12000457 is about 228.9457547760.

Adding to 12000457 its reverse (75400021), we get a palindrome (87400478).

The spelling of 12000457 in words is "twelve million, four hundred fifty-seven", and thus it is an aban number.

Divisors: 1 7 19 23 133 161 437 3059 3923 27461 74537 90229 521759 631603 1714351 12000457