Search a number
-
+
1082778138 = 233133741687
BaseRepresentation
bin100000010001001…
…1110001000011010
32210110102211101000
41000202132020122
54204142400023
6255235405430
735555314401
oct10042361032
92713384330
101082778138
11506222272
12262753876
13143430c30
14a3b38638
15650d3243
hex4089e21a

1082778138 has 64 divisors (see below), whose sum is σ = 2661361920. Its totient is φ = 324150336.

The previous prime is 1082778131. The next prime is 1082778139. The reversal of 1082778138 is 8318772801.

It is a super-2 number, since 2×10827781382 = 2344816992261494088, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1082778093 and 1082778102.

It is not an unprimeable number, because it can be changed into a prime (1082778131) 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 31 ways as a sum of consecutive naturals, for example, 5131 + ... + 46817.

It is an arithmetic number, because the mean of its divisors is an integer number (41583780).

Almost surely, 21082778138 is an apocalyptic number.

1082778138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082778138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330680960).

1082778138 is an abundant number, since it is smaller than the sum of its proper divisors (1578583782).

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

1082778138 is a wasteful number, since it uses less digits than its factorization.

1082778138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41748 (or 41742 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 1082778138 is about 32905.5943268010. The cubic root of 1082778138 is about 1026.8645460818.

The spelling of 1082778138 in words is "one billion, eighty-two million, seven hundred seventy-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 111 117 222 234 333 351 481 666 702 962 999 1443 1998 2886 4329 8658 12987 25974 41687 83374 125061 250122 375183 541931 750366 1083862 1125549 1542419 1625793 2251098 3084838 3251586 4627257 4877379 9254514 9754758 13881771 14632137 20051447 27763542 29264274 40102894 41645313 60154341 83290626 120308682 180463023 360926046 541389069 1082778138