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122916966 = 23191078219
BaseRepresentation
bin1110101001110…
…01000001100110
322120021211101020
413110321001212
5222431320331
620110312010
73021530334
oct724710146
9276254336
10122916966
1163424377
12351b8606
131c608843
1412478b54
15abcec96
hex7539066

122916966 has 16 divisors (see below), whose sum is σ = 258772800. Its totient is φ = 38815848.

The previous prime is 122916961. The next prime is 122916971. The reversal of 122916966 is 669619221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122916961) and next prime (122916971).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122916961) 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 7 ways as a sum of consecutive naturals, for example, 538996 + ... + 539223.

It is an arithmetic number, because the mean of its divisors is an integer number (16173300).

Almost surely, 2122916966 is an apocalyptic number.

122916966 is an abundant number, since it is smaller than the sum of its proper divisors (135855834).

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

122916966 is a wasteful number, since it uses less digits than its factorization.

122916966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078243.

The product of its digits is 69984, while the sum is 42.

The square root of 122916966 is about 11086.7924125962. The cubic root of 122916966 is about 497.2070492342.

The spelling of 122916966 in words is "one hundred twenty-two million, nine hundred sixteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 19 38 57 114 1078219 2156438 3234657 6469314 20486161 40972322 61458483 122916966