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130629421 = 1371307461
BaseRepresentation
bin1111100100100…
…11111100101101
3100002210122212201
413302103330231
5231420120141
620543501501
73144221536
oct762237455
9302718781
10130629421
11678118aa
12378b7891
13210a9120
14134c568d
15b705031
hex7c93f2d

130629421 has 16 divisors (see below), whose sum is σ = 143434368. Its totient is φ = 118238400.

The previous prime is 130629419. The next prime is 130629439. The reversal of 130629421 is 124926031.

130629421 = T1 + T2 + ... + T921.

130629421 is a nontrivial binomial coefficient, being equal to C(923, 3).

It is a cyclic number.

It is not a de Polignac number, because 130629421 - 21 = 130629419 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130629421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130629451) by changing a digit.

It is the 921-st tetrahedral number.

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 15 ways as a sum of consecutive naturals, for example, 283131 + ... + 283591.

It is an arithmetic number, because the mean of its divisors is an integer number (8964648).

Almost surely, 2130629421 is an apocalyptic number.

It is an amenable number.

130629421 is a deficient number, since it is larger than the sum of its proper divisors (12804947).

130629421 is a wasteful number, since it uses less digits than its factorization.

130629421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 130629421 is about 11429.3228583324. The cubic root of 130629421 is about 507.3959549542.

The spelling of 130629421 in words is "one hundred thirty million, six hundred twenty-nine thousand, four hundred twenty-one".

Divisors: 1 13 71 307 461 923 3991 5993 21797 32731 141527 283361 425503 1839851 10048417 130629421