Search a number
-
+
138152740 = 225113147431
BaseRepresentation
bin10000011110000…
…00101100100100
3100121221212221011
420033000230210
5240331341430
621413032004
73265164445
oct1017005444
9317855834
10138152740
1170a90220
123a325604
13228115ab
14144c32cc
15c1de22a
hex83c0b24

138152740 has 96 divisors (see below), whose sum is σ = 334430208. Its totient is φ = 47472000.

The previous prime is 138152717. The next prime is 138152741. The reversal of 138152740 is 47251831.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (138152741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320325 + ... + 320755.

It is an arithmetic number, because the mean of its divisors is an integer number (3483648).

Almost surely, 2138152740 is an apocalyptic number.

138152740 is a gapful number since it is divisible by the number (10) 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 138152740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215104).

138152740 is an abundant number, since it is smaller than the sum of its proper divisors (196277468).

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

138152740 is a wasteful number, since it uses less digits than its factorization.

138152740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 138152740 is about 11753.8393727326. The cubic root of 138152740 is about 516.9555087439.

Subtracting from 138152740 its reverse (47251831), we obtain a palindrome (90900909).

The spelling of 138152740 in words is "one hundred thirty-eight million, one hundred fifty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 47 55 62 94 110 124 155 188 220 235 310 341 431 470 517 620 682 862 940 1034 1364 1457 1705 1724 2068 2155 2585 2914 3410 4310 4741 5170 5828 6820 7285 8620 9482 10340 13361 14570 16027 18964 20257 23705 26722 29140 32054 40514 47410 53444 64108 66805 80135 81028 94820 101285 133610 146971 160270 202570 222827 267220 293942 320540 405140 445654 587884 627967 734855 891308 1114135 1255934 1469710 2228270 2511868 2939420 3139835 4456540 6279670 6907637 12559340 13815274 27630548 34538185 69076370 138152740