Search a number
-
+
138554880 = 293518041
BaseRepresentation
bin10000100001000…
…10111000000000
3100122201022120020
420100202320000
5240432224010
621425413440
73301461042
oct1020427000
9318638506
10138554880
1171235372
123a49a280
1322922649
1414589a92
15c26d470
hex8422e00

138554880 has 80 divisors (see below), whose sum is σ = 442967184. Its totient is φ = 36945920.

The previous prime is 138554869. The next prime is 138554881. The reversal of 138554880 is 88455831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138554881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1341 + ... + 16700.

Almost surely, 2138554880 is an apocalyptic number.

138554880 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 138554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221483592).

138554880 is an abundant number, since it is smaller than the sum of its proper divisors (304412304).

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

138554880 is an equidigital number, since it uses as much as digits as its factorization.

138554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18067 (or 18051 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 138554880 is about 11770.9336927875. The cubic root of 138554880 is about 517.4566137867.

It can be divided in two parts, 1385 and 54880, that added together give a palindrome (56265).

The spelling of 138554880 in words is "one hundred thirty-eight million, five hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 18041 36082 54123 72164 90205 108246 144328 180410 216492 270615 288656 360820 432984 541230 577312 721640 865968 1082460 1154624 1443280 1731936 2164920 2309248 2886560 3463872 4329840 4618496 5773120 6927744 8659680 9236992 11546240 13855488 17319360 23092480 27710976 34638720 46184960 69277440 138554880