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66976875 = 375472
BaseRepresentation
bin1111111101111…
…1110001101011
311200000210000000
43333133301223
5114121230000
610351314043
71442202600
oct377376153
9150023000
1066976875
1134896799
121a51b923
1310b507b4
148c766a7
155d30000
hex3fdfc6b

66976875 has 120 divisors (see below), whose sum is σ = 146015760. Its totient is φ = 30618000.

The previous prime is 66976867. The next prime is 66976909. The reversal of 66976875 is 57867966.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 66976875 - 23 = 66976867 is a prime.

Its product of digits (3810240) is a multiple of the sum of its prime divisors (15).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9568122 + ... + 9568128.

It is an arithmetic number, because the mean of its divisors is an integer number (1216798).

Almost surely, 266976875 is an apocalyptic number.

66976875 is an abundant number, since it is smaller than the sum of its proper divisors (79038885).

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

66976875 is an frugal number, since it uses more digits than its factorization.

66976875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 15 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 66976875 is about 8183.9400657629. The cubic root of 66976875 is about 406.1080766576.

The spelling of 66976875 in words is "sixty-six million, nine hundred seventy-six thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 125 135 147 175 189 225 243 245 315 375 405 441 525 567 625 675 729 735 875 945 1125 1215 1225 1323 1575 1701 1875 2025 2187 2205 2625 2835 3375 3645 3675 3969 4375 4725 5103 5625 6075 6125 6615 7875 8505 10125 10935 11025 11907 13125 14175 15309 16875 18225 18375 19845 23625 25515 30375 30625 33075 35721 39375 42525 50625 54675 55125 59535 70875 76545 91125 91875 99225 107163 118125 127575 151875 165375 178605 212625 273375 275625 297675 354375 382725 455625 496125 535815 637875 826875 893025 1063125 1366875 1488375 1913625 2480625 2679075 3189375 4465125 7441875 9568125 13395375 22325625 66976875