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122676948 = 22323407693
BaseRepresentation
bin1110100111111…
…10011011010100
322112211122010200
413103332123110
5222401130243
620101220500
73016510512
oct723763324
9275748120
10122676948
1163280009
1235101730
131c553514
14124154b2
15ab83ad3
hex74fe6d4

122676948 has 18 divisors (see below), whose sum is σ = 310100154. Its totient is φ = 40892304.

The previous prime is 122676937. The next prime is 122676949. The reversal of 122676948 is 849676221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 121484484 + 1192464 = 11022^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122676949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1703811 + ... + 1703882.

Almost surely, 2122676948 is an apocalyptic number.

122676948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122676948 is an abundant number, since it is smaller than the sum of its proper divisors (187423206).

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

122676948 is a wasteful number, since it uses less digits than its factorization.

122676948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407703 (or 3407698 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 122676948 is about 11075.9626218221. The cubic root of 122676948 is about 496.8832089305.

The spelling of 122676948 in words is "one hundred twenty-two million, six hundred seventy-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3407693 6815386 10223079 13630772 20446158 30669237 40892316 61338474 122676948