Search a number
-
+
139914720 = 2532511373
BaseRepresentation
bin10000101011011…
…10110111100000
3100202021101220200
420111232313200
5241304232340
621514505200
73316153431
oct1025566740
9322241820
10139914720
1171a84000
123aa35200
1322caa59a
1414821488
15c43b330
hex856ede0

139914720 has 288 divisors, whose sum is σ = 532363104. Its totient is φ = 33454080.

The previous prime is 139914667. The next prime is 139914739. The reversal of 139914720 is 27419931.

139914720 is digitally balanced in base 2, 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 (288).

It is a super-2 number, since 2×1399147202 = 39152257745356800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916604 + ... + 1916676.

It is an arithmetic number, because the mean of its divisors is an integer number (1848483).

Almost surely, 2139914720 is an apocalyptic number.

139914720 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 139914720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266181552).

139914720 is an abundant number, since it is smaller than the sum of its proper divisors (392448384).

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

139914720 is a wasteful number, since it uses less digits than its factorization.

139914720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 139914720 is about 11828.5552794921. Note that the first 3 decimals coincide. The cubic root of 139914720 is about 519.1439564136.

The spelling of 139914720 in words is "one hundred thirty-nine million, nine hundred fourteen thousand, seven hundred twenty".