Search a number
-
+
138246000 = 2435323041
BaseRepresentation
bin10000011110101…
…11011101110000
3100122010121212020
420033113131300
5240342333000
621415031440
73266033364
oct1017273560
9318117766
10138246000
11710442a2
123a36b580
1322844b89
14145092a4
15c20bba0
hex83d7770

138246000 has 80 divisors (see below), whose sum is σ = 445724448. Its totient is φ = 36864000.

The previous prime is 138245981. The next prime is 138246037. The reversal of 138246000 is 642831.

It is a happy number.

138246000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1382460002 = 38223913032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5521 + ... + 17520.

Almost surely, 2138246000 is an apocalyptic number.

138246000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138246000 is an abundant number, since it is smaller than the sum of its proper divisors (307478448).

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

138246000 is a wasteful number, since it uses less digits than its factorization.

138246000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23067 (or 23051 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 138246000 is about 11757.8059177722. The cubic root of 138246000 is about 517.0718061754.

Adding to 138246000 its reverse (642831), we get a palindrome (138888831).

The spelling of 138246000 in words is "one hundred thirty-eight million, two hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 23041 46082 69123 92164 115205 138246 184328 230410 276492 345615 368656 460820 552984 576025 691230 921640 1105968 1152050 1382460 1728075 1843280 2304100 2764920 2880125 3456150 4608200 5529840 5760250 6912300 8640375 9216400 11520500 13824600 17280750 23041000 27649200 34561500 46082000 69123000 138246000