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1376420682 = 2372131133187
BaseRepresentation
bin101001000001010…
…1000001101001010
310112220222102012210
41102002220031022
510304330430212
6344325245550
746052245200
oct12202501512
93486872183
101376420682
11646a5425a
12324b638b6
1318c214110
14d0b35070
1580c8853c
hex520a834a

1376420682 has 96 divisors (see below), whose sum is σ = 3480224832. Its totient is φ = 359686656.

The previous prime is 1376420663. The next prime is 1376420687. The reversal of 1376420682 is 2860246731.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1376420682.

It is not an unprimeable number, because it can be changed into a prime (1376420687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430293 + ... + 433479.

It is an arithmetic number, because the mean of its divisors is an integer number (36252342).

Almost surely, 21376420682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376420682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740112416).

1376420682 is an abundant number, since it is smaller than the sum of its proper divisors (2103804150).

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

1376420682 is a wasteful number, since it uses less digits than its factorization.

1376420682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1376420682 is about 37100.1439619848. The cubic root of 1376420682 is about 1112.3728914577.

The spelling of 1376420682 in words is "one billion, three hundred seventy-six million, four hundred twenty thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 113 147 182 226 273 294 339 546 637 678 791 1274 1469 1582 1911 2373 2938 3187 3822 4407 4746 5537 6374 8814 9561 10283 11074 16611 19122 20566 22309 30849 33222 41431 44618 61698 66927 71981 82862 124293 133854 143962 156163 215943 248586 290017 312326 360131 431886 468489 580034 720262 870051 936978 1080393 1740102 2030119 2160786 2520917 4060238 4681703 5041834 6090357 7562751 9363406 12180714 14045109 15125502 17646419 28090218 32771921 35292838 52939257 65543842 98315763 105878514 196631526 229403447 458806894 688210341 1376420682