Search a number
-
+
139723056 = 2438113
BaseRepresentation
bin10000101010000…
…00000100110000
3100201220200000000
420111000010300
5241232114211
621510430000
73314424564
oct1025000460
9321820000
10139723056
1171963000
123a962300
1322c41285
14147b16a4
15c3ee656
hex8540130

139723056 has 180 divisors, whose sum is σ = 446623944. Its totient is φ = 42340320.

The previous prime is 139723049. The next prime is 139723079. The reversal of 139723056 is 650327931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 139723056.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12702091 + ... + 12702101.

Almost surely, 2139723056 is an apocalyptic number.

139723056 is a gapful number since it is divisible by the number (16) 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 139723056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223311972).

139723056 is an abundant number, since it is smaller than the sum of its proper divisors (306900888).

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

139723056 is an frugal number, since it uses more digits than its factorization.

139723056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 139723056 is about 11820.4507528266. The cubic root of 139723056 is about 518.9067960534.

The spelling of 139723056 in words is "one hundred thirty-nine million, seven hundred twenty-three thousand, fifty-six".