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149128029 = 32174123773
BaseRepresentation
bin10001110001110…
…00001101011101
3101101121111012100
420320320031131
5301134044104
622444155313
73460365411
oct1070701535
9341544170
10149128029
11771a7106
1241b38b39
1324b8504b
1415b3cd41
15d15b139
hex8e3835d

149128029 has 24 divisors (see below), whose sum is σ = 233650872. Its totient is φ = 91284480.

The previous prime is 149127989. The next prime is 149128037. The reversal of 149128029 is 920821941.

149128029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2160900 + 146967129 = 1470^2 + 12123^2 .

It is not a de Polignac number, because 149128029 - 220 = 148079453 is a prime.

It is a super-3 number, since 3×1491280293 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149127984 and 149128002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149128079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5614 + ... + 18159.

It is an arithmetic number, because the mean of its divisors is an integer number (9735453).

Almost surely, 2149128029 is an apocalyptic number.

It is an amenable number.

149128029 is a deficient number, since it is larger than the sum of its proper divisors (84522843).

149128029 is a wasteful number, since it uses less digits than its factorization.

149128029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23837 (or 23834 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149128029 is about 12211.7987618532. The cubic root of 149128029 is about 530.2977192846.

The spelling of 149128029 in words is "one hundred forty-nine million, one hundred twenty-eight thousand, twenty-nine".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 23773 71319 213957 404141 974693 1212423 2924079 3637269 8772237 16569781 49709343 149128029