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1077381888 = 28311731747
BaseRepresentation
bin100000000110111…
…1000101100000000
32210002021200002220
41000031320230000
54201302210023
6254524011040
735461411032
oct10015705400
92702250086
101077381888
11503176a60
12260990a80
1314229199b
14a3131c52
15648b93e3
hex40378b00

1077381888 has 144 divisors (see below), whose sum is σ = 3172745856. Its totient is φ = 321822720.

The previous prime is 1077381883. The next prime is 1077381917. The reversal of 1077381888 is 8881837701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1077381888.

It is not an unprimeable number, because it can be changed into a prime (1077381883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615831 + ... + 617577.

Almost surely, 21077381888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077381888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586372928).

1077381888 is an abundant number, since it is smaller than the sum of its proper divisors (2095363968).

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

1077381888 is a wasteful number, since it uses less digits than its factorization.

1077381888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 51.

The square root of 1077381888 is about 32823.4959746825. The cubic root of 1077381888 is about 1025.1558400369.

The spelling of 1077381888 in words is "one billion, seventy-seven million, three hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 73 88 96 128 132 146 176 192 219 256 264 292 352 384 438 528 584 704 768 803 876 1056 1168 1408 1606 1747 1752 2112 2336 2409 2816 3212 3494 3504 4224 4672 4818 5241 6424 6988 7008 8448 9344 9636 10482 12848 13976 14016 18688 19217 19272 20964 25696 27952 28032 38434 38544 41928 51392 55904 56064 57651 76868 77088 83856 102784 111808 115302 127531 153736 154176 167712 205568 223616 230604 255062 307472 308352 335424 382593 447232 461208 510124 614944 616704 670848 765186 922416 1020248 1229888 1341696 1402841 1530372 1844832 2040496 2459776 2805682 3060744 3689664 4080992 4208523 4919552 5611364 6121488 7379328 8161984 8417046 11222728 12242976 14758656 16323968 16834092 22445456 24485952 32647936 33668184 44890912 48971904 67336368 89781824 97943808 134672736 179563648 269345472 359127296 538690944 1077381888