Search a number
-
+
129007476 = 223213275657
BaseRepresentation
bin1111011000001…
…11111101110100
322222202020222200
413230013331310
5231011214401
620445024500
73124355043
oct754077564
9288666880
10129007476
1166904254
1237255130
132095bab0
14131c255a
15b4d4686
hex7b07f74

129007476 has 36 divisors (see below), whose sum is σ = 351188292. Its totient is φ = 39694464.

The previous prime is 129007471. The next prime is 129007517. The reversal of 129007476 is 674700921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31472100 + 97535376 = 5610^2 + 9876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 129007476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129007471) 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 11 ways as a sum of consecutive naturals, for example, 137361 + ... + 138296.

Almost surely, 2129007476 is an apocalyptic number.

It is an amenable number.

129007476 is an abundant number, since it is smaller than the sum of its proper divisors (222180816).

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

129007476 is a wasteful number, since it uses less digits than its factorization.

129007476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275680 (or 275675 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 129007476 is about 11358.1457993812. The cubic root of 129007476 is about 505.2871953956.

The spelling of 129007476 in words is "one hundred twenty-nine million, seven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 275657 551314 826971 1102628 1653942 2480913 3307884 3583541 4961826 7167082 9923652 10750623 14334164 21501246 32251869 43002492 64503738 129007476