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127790401 = 3159109641
BaseRepresentation
bin1111001110111…
…10110101000001
322220110102110211
413213132311001
5230203243101
620402554121
73111125524
oct747366501
9286412424
10127790401
1166152902
1236968941
1320623b2b
1412d86bbb
15b343c51
hex79ded41

127790401 has 16 divisors (see below), whose sum is σ = 135590400. Its totient is φ = 120268800.

The previous prime is 127790387. The next prime is 127790413. The reversal of 127790401 is 104097721.

It is a cyclic number.

It is not a de Polignac number, because 127790401 - 213 = 127782209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127790431) 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, 199041 + ... + 199681.

It is an arithmetic number, because the mean of its divisors is an integer number (8474400).

Almost surely, 2127790401 is an apocalyptic number.

127790401 is the 5056-th centered decagonal number.

It is an amenable number.

127790401 is a deficient number, since it is larger than the sum of its proper divisors (7799999).

127790401 is a wasteful number, since it uses less digits than its factorization.

127790401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840.

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 127790401 is about 11304.4416491926. The cubic root of 127790401 is about 503.6931882232.

The spelling of 127790401 in words is "one hundred twenty-seven million, seven hundred ninety thousand, four hundred one".

Divisors: 1 31 59 109 641 1829 3379 6431 19871 37819 69869 199361 1172389 2165939 4122271 127790401