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1377261056 = 2919314567
BaseRepresentation
bin101001000010111…
…0101011000000000
310112222120002222202
41102011311120000
510310034323211
6344355252332
746062345233
oct12205653000
93488502882
101377261056
11647478686
123252aa0a8
1318c449792
14d0cb341a
1580da253b
hex52175600

1377261056 has 80 divisors (see below), whose sum is σ = 2990760960. Its totient is φ = 631203840.

The previous prime is 1377261049. The next prime is 1377261071. The reversal of 1377261056 is 6501627731.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 299285 + ... + 303851.

It is an arithmetic number, because the mean of its divisors is an integer number (37384512).

Almost surely, 21377261056 is an apocalyptic number.

1377261056 is a gapful number since it is divisible by the number (16) 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 1377261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495380480).

1377261056 is an abundant number, since it is smaller than the sum of its proper divisors (1613499904).

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

1377261056 is an equidigital number, since it uses as much as digits as its factorization.

1377261056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 1377261056 is about 37111.4679849774. The cubic root of 1377261056 is about 1112.5992319178.

Adding to 1377261056 its reverse (6501627731), we get a palindrome (7878888787).

The spelling of 1377261056 in words is "one billion, three hundred seventy-seven million, two hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 512 589 608 992 1178 1216 1984 2356 2432 3968 4567 4712 4864 7936 9134 9424 9728 15872 18268 18848 36536 37696 73072 75392 86773 141577 146144 150784 173546 283154 292288 301568 347092 566308 584576 694184 1132616 1169152 1388368 2265232 2338304 2689963 2776736 4530464 5379926 5553472 9060928 10759852 11106944 18121856 21519704 22213888 36243712 43039408 44427776 72487424 86078816 172157632 344315264 688630528 1377261056