Search a number
-
+
139104000 = 283353723
BaseRepresentation
bin10000100101010…
…00111100000000
3100200202012211000
420102220330000
5241102312000
621445252000
73306236010
oct1022507400
9320665730
10139104000
117157a992
123a704000
1322a85579
141468dc40
15c32b000
hex84a8f00

139104000 has 576 divisors, whose sum is σ = 612218880. Its totient is φ = 30412800.

The previous prime is 139103983. The next prime is 139104061. The reversal of 139104000 is 401931.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047989 + ... + 6048011.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 2139104000 is an apocalyptic number.

139104000 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 139104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306109440).

139104000 is an abundant number, since it is smaller than the sum of its proper divisors (473114880).

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

139104000 is an equidigital number, since it uses as much as digits as its factorization.

139104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 139104000 is about 11794.2358802934. The cubic root of 139104000 is about 518.1393065099.

Adding to 139104000 its reverse (401931), we get a palindrome (139505931).

The spelling of 139104000 in words is "one hundred thirty-nine million, one hundred four thousand".