Search a number
-
+
1340088138 = 23517612659
BaseRepresentation
bin100111111100000…
…0001111101001010
310110101121112100000
41033320001331022
510221030310023
6340550423430
745131363334
oct11770017512
93411545300
101340088138
11628499064
12314961b76
1318483297c
14c9d98454
157c9ad243
hex4fe01f4a

1340088138 has 96 divisors (see below), whose sum is σ = 3241667520. Its totient is φ = 413372160.

The previous prime is 1340088103. The next prime is 1340088179. The reversal of 1340088138 is 8318800431.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502653 + ... + 505311.

It is an arithmetic number, because the mean of its divisors is an integer number (33767370).

Almost surely, 21340088138 is an apocalyptic number.

1340088138 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 1340088138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620833760).

1340088138 is an abundant number, since it is smaller than the sum of its proper divisors (1901579382).

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

1340088138 is a wasteful number, since it uses less digits than its factorization.

1340088138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1340088138 is about 36607.2142889895. The cubic root of 1340088138 is about 1102.4979425201.

Adding to 1340088138 its reverse (8318800431), we get a palindrome (9658888569).

The spelling of 1340088138 in words is "one billion, three hundred forty million, eighty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 81 102 122 153 162 183 243 306 366 459 486 549 918 1037 1098 1377 1647 2074 2659 2754 3111 3294 4131 4941 5318 6222 7977 8262 9333 9882 14823 15954 18666 23931 27999 29646 45203 47862 55998 71793 83997 90406 135609 143586 162199 167994 215379 251991 271218 324398 406827 430758 486597 503982 646137 813654 973194 1220481 1292274 1459791 2440962 2757383 2919582 3661443 4379373 5514766 7322886 8272149 8758746 10984329 13138119 16544298 21968658 24816447 26276238 39414357 49632894 74449341 78828714 148898682 223348023 446696046 670044069 1340088138