Search a number
-
+
138621400 = 23521740771
BaseRepresentation
bin10000100001100…
…11000111011000
3100122211200210221
420100303013120
5240441341100
621431045424
73302156011
oct1020630730
9318750727
10138621400
1171280345
123a510874
13229469c8
14145a6008
15c28301a
hex84331d8

138621400 has 48 divisors (see below), whose sum is σ = 341261640. Its totient is φ = 52185600.

The previous prime is 138621361. The next prime is 138621401. The reversal of 138621400 is 4126831.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138621401) 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 11 ways as a sum of consecutive naturals, for example, 16986 + ... + 23785.

Almost surely, 2138621400 is an apocalyptic number.

138621400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138621400 is an abundant number, since it is smaller than the sum of its proper divisors (202640240).

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

138621400 is a wasteful number, since it uses less digits than its factorization.

138621400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40804 (or 40795 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 138621400 is about 11773.7589579539. The cubic root of 138621400 is about 517.5394105983.

The spelling of 138621400 in words is "one hundred thirty-eight million, six hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 40771 81542 163084 203855 326168 407710 693107 815420 1019275 1386214 1630840 2038550 2772428 3465535 4077100 5544856 6931070 8154200 13862140 17327675 27724280 34655350 69310700 138621400