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129971417 = 2937891361
BaseRepresentation
bin1111011111100…
…11010011011001
3100001120020021012
413233303103121
5231233041132
620521423305
73135511262
oct757632331
9301506235
10129971417
11674024a4
123763ab35
1320c08784
1413393969
15b6250b2
hex7bf34d9

129971417 has 16 divisors (see below), whose sum is σ = 139741200. Its totient is φ = 120637440.

The previous prime is 129971407. The next prime is 129971431. The reversal of 129971417 is 714179921.

It can be written as a sum of positive squares in 8 ways, for example, as 1466521 + 128504896 = 1211^2 + 11336^2 .

It is a cyclic number.

It is not a de Polignac number, because 129971417 - 220 = 128922841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129971407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94817 + ... + 96177.

It is an arithmetic number, because the mean of its divisors is an integer number (8733825).

Almost surely, 2129971417 is an apocalyptic number.

It is an amenable number.

129971417 is a deficient number, since it is larger than the sum of its proper divisors (9769783).

129971417 is a wasteful number, since it uses less digits than its factorization.

129971417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516.

The product of its digits is 31752, while the sum is 41.

The square root of 129971417 is about 11400.5007346169. The cubic root of 129971417 is about 506.5425720923.

The spelling of 129971417 in words is "one hundred twenty-nine million, nine hundred seventy-one thousand, four hundred seventeen".

Divisors: 1 29 37 89 1073 1361 2581 3293 39469 50357 95497 121129 1460353 3512741 4481773 129971417