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1377820327 = 132311811453
BaseRepresentation
bin101001000011111…
…1101111010100111
310120000121112011111
41102013331322213
510310210222302
6344415245451
746100164612
oct12207757247
93500545144
101377820327
1164781a894
12325519887
1318c5b4200
14d0dbb179
1580e630d7
hex521fdea7

1377820327 has 24 divisors (see below), whose sum is σ = 1549661568. Its totient is φ = 1223164800.

The previous prime is 1377820291. The next prime is 1377820343. The reversal of 1377820327 is 7230287731.

It is a de Polignac number, because none of the positive numbers 2k-1377820327 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1377820327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377820357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947533 + ... + 948985.

It is an arithmetic number, because the mean of its divisors is an integer number (64569232).

Almost surely, 21377820327 is an apocalyptic number.

1377820327 is a deficient number, since it is larger than the sum of its proper divisors (171841241).

1377820327 is a wasteful number, since it uses less digits than its factorization.

1377820327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 1377820327 is about 37119.0022360516. The cubic root of 1377820327 is about 1112.7498110389.

The spelling of 1377820327 in words is "one billion, three hundred seventy-seven million, eight hundred twenty thousand, three hundred twenty-seven".

Divisors: 1 13 31 169 181 403 1453 2353 5239 5611 18889 30589 45043 72943 245557 262993 585559 948259 3418909 7612267 8152783 44445817 105986179 1377820327