Search a number
-
+
138551140 = 225713269283
BaseRepresentation
bin10000100001000…
…01111101100100
3100122201010102201
420100201331210
5240432114030
621425344244
73301444120
oct1020417544
9318633381
10138551140
1171232582
123a498084
1322920a30
1414588580
15c26c2ca
hex8421f64

138551140 has 96 divisors (see below), whose sum is σ = 360702720. Its totient is φ = 43531776.

The previous prime is 138551137. The next prime is 138551143. The reversal of 138551140 is 41155831.

It is an interprime number because it is at equal distance from previous prime (138551137) and next prime (138551143).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 138551099 and 138551108.

It is not an unprimeable number, because it can be changed into a prime (138551143) 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, 489439 + ... + 489721.

It is an arithmetic number, because the mean of its divisors is an integer number (3757320).

Almost surely, 2138551140 is an apocalyptic number.

138551140 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 138551140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180351360).

138551140 is an abundant number, since it is smaller than the sum of its proper divisors (222151580).

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

138551140 is a wasteful number, since it uses less digits than its factorization.

138551140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 138551140 is about 11770.7748258133. The cubic root of 138551140 is about 517.4519578574.

It can be divided in two parts, 1385 and 51140, that added together give a palindrome (52525).

The spelling of 138551140 in words is "one hundred thirty-eight million, five hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 269 283 364 455 538 566 910 1076 1132 1345 1415 1820 1883 1981 2690 2830 3497 3679 3766 3962 5380 5660 6994 7358 7532 7924 9415 9905 13988 14716 17485 18395 18830 19810 24479 25753 34970 36790 37660 39620 48958 51506 69940 73580 76127 97916 103012 122395 128765 152254 244790 257530 304508 380635 489580 515060 532889 761270 989651 1065778 1522540 1979302 2131556 2664445 3958604 4948255 5328890 6927557 9896510 10657780 13855114 19793020 27710228 34637785 69275570 138551140