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1377387108 = 2232235331387
BaseRepresentation
bin101001000011001…
…0100001001100100
310112222210111220100
41102012110021210
510310102341413
6344402104100
746063411566
oct12206241144
93488714810
101377387108
11647554359
1232534b030
1318c491c76
14d0d07336
1580dc9a73
hex52194264

1377387108 has 72 divisors (see below), whose sum is σ = 3701775168. Its totient is φ = 430867008.

The previous prime is 1377387097. The next prime is 1377387127. The reversal of 1377387108 is 8017837731.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28191 + ... + 59577.

It is an arithmetic number, because the mean of its divisors is an integer number (51413544).

Almost surely, 21377387108 is an apocalyptic number.

1377387108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377387108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850887584).

1377387108 is an abundant number, since it is smaller than the sum of its proper divisors (2324388060).

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

1377387108 is a wasteful number, since it uses less digits than its factorization.

1377387108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31473 (or 31468 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 1377387108 is about 37113.1662351786. The cubic root of 1377387108 is about 1112.6331739410.

The spelling of 1377387108 in words is "one billion, three hundred seventy-seven million, three hundred eighty-seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 92 106 138 159 207 212 276 318 414 477 636 828 954 1219 1908 2438 3657 4876 7314 10971 14628 21942 31387 43884 62774 94161 125548 188322 282483 376644 564966 721901 1129932 1443802 1663511 2165703 2887604 3327022 4331406 4990533 6497109 6654044 8662812 9981066 12994218 14971599 19962132 25988436 29943198 38260753 59886396 76521506 114782259 153043012 229564518 344346777 459129036 688693554 1377387108