Search a number
-
+
1074378786 = 2313103173773
BaseRepresentation
bin100000000001001…
…1011100000100010
32202212122002121220
41000002123200202
54200020110121
6254335355510
735424032445
oct10002334042
92685562556
101074378786
11501505758
1225b982b96
1314177cac0
14a298d65c
15644c46c6
hex4009b822

1074378786 has 64 divisors (see below), whose sum is σ = 2353059072. Its totient is φ = 325055232.

The previous prime is 1074378757. The next prime is 1074378791. The reversal of 1074378786 is 6878734701.

It is a super-3 number, since 3×10743787863 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389496 + ... + 1390268.

It is an arithmetic number, because the mean of its divisors is an integer number (36766548).

Almost surely, 21074378786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074378786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176529536).

1074378786 is an abundant number, since it is smaller than the sum of its proper divisors (1278680286).

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

1074378786 is a wasteful number, since it uses less digits than its factorization.

1074378786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067.

The product of its (nonzero) digits is 1580544, while the sum is 51.

The square root of 1074378786 is about 32777.7178278171. The cubic root of 1074378786 is about 1024.2024447407.

The spelling of 1074378786 in words is "one billion, seventy-four million, three hundred seventy-eight thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 13 26 39 78 103 173 206 309 346 519 618 773 1038 1339 1546 2249 2319 2678 4017 4498 4638 6747 8034 10049 13494 17819 20098 30147 35638 53457 60294 79619 106914 133729 159238 231647 238857 267458 401187 463294 477714 694941 802374 1035047 1389882 1738477 2070094 3105141 3476954 5215431 6210282 10430862 13774087 27548174 41322261 82644522 179063131 358126262 537189393 1074378786