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1377660414 = 2313139283449
BaseRepresentation
bin101001000011101…
…0110110111111110
310120000022101210210
41102013112313332
510310140113124
6344412013250
746065630444
oct12207266776
93500271723
101377660414
11647720729
12325461226
1318c5594a0
14d0d78b94
1580e30a29
hex521d6dfe

1377660414 has 64 divisors (see below), whose sum is σ = 3005856000. Its totient is φ = 418424832.

The previous prime is 1377660413. The next prime is 1377660419. The reversal of 1377660414 is 4140667731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377660413) 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 31 ways as a sum of consecutive naturals, for example, 3068062 + ... + 3068510.

It is an arithmetic number, because the mean of its divisors is an integer number (46966500).

Almost surely, 21377660414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377660414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502928000).

1377660414 is an abundant number, since it is smaller than the sum of its proper divisors (1628195586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1377660414 is a wasteful number, since it uses less digits than its factorization.

1377660414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 1377660414 is about 37116.8481151080. The cubic root of 1377660414 is about 1112.7067599382.

The spelling of 1377660414 in words is "one billion, three hundred seventy-seven million, six hundred sixty thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 139 278 283 417 449 566 834 849 898 1347 1698 1807 2694 3614 3679 5421 5837 7358 10842 11037 11674 17511 22074 35022 39337 62411 78674 118011 124822 127067 187233 236022 254134 374466 381201 511381 762402 811343 1022762 1534143 1622686 1651871 2434029 3068286 3303742 4868058 4955613 9911226 17662313 35324626 52986939 105973878 229610069 459220138 688830207 1377660414