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102674772 = 22322852077
BaseRepresentation
bin1100001111010…
…11000101010100
321011012102022100
412013223011110
5202241043042
614104402100
72354502234
oct607530524
9234172270
10102674772
1152a59092
122a476330
131836c105
14d8c9cc4
15903224c
hex61eb154

102674772 has 18 divisors (see below), whose sum is σ = 259539098. Its totient is φ = 34224912.

The previous prime is 102674771. The next prime is 102674797. The reversal of 102674772 is 277476201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 81108036 + 21566736 = 9006^2 + 4644^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2852077 = 102674772 / (1 + 0 + 2 + 6 + 7 + 4 + 7 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102674771) 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 5 ways as a sum of consecutive naturals, for example, 1426003 + ... + 1426074.

Almost surely, 2102674772 is an apocalyptic number.

102674772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102674772 is an abundant number, since it is smaller than the sum of its proper divisors (156864326).

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

102674772 is a wasteful number, since it uses less digits than its factorization.

102674772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852087 (or 2852082 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 102674772 is about 10132.8560633219. The cubic root of 102674772 is about 468.2609217828.

The spelling of 102674772 in words is "one hundred two million, six hundred seventy-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 2852077 5704154 8556231 11408308 17112462 25668693 34224924 51337386 102674772