Search a number
-
+
139377024 = 27354481
BaseRepresentation
bin10000100111010…
…11100110000000
3100201021002100000
420103223212000
5241140031044
621455200000
73311454003
oct1023534600
9321232300
10139377024
1171747026
123a816000
1322b4c917
141472153a
15c381d69
hex84eb980

139377024 has 96 divisors (see below), whose sum is σ = 416019240. Its totient is φ = 46448640.

The previous prime is 139377019. The next prime is 139377053. The reversal of 139377024 is 420773931.

It is a tau number, because it is divible by the number of its divisors (96).

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 139377024.

It is a congruent number.

It is an unprimeable number.

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, 28864 + ... + 33344.

Almost surely, 2139377024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139377024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208009620).

139377024 is an abundant number, since it is smaller than the sum of its proper divisors (276642216).

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

139377024 is an frugal number, since it uses more digits than its factorization.

139377024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 139377024 is about 11805.8046739729. The cubic root of 139377024 is about 518.4780746606.

The spelling of 139377024 in words is "one hundred thirty-nine million, three hundred seventy-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 4481 5184 7776 8962 10368 13443 15552 17924 26886 31104 35848 40329 53772 71696 80658 107544 120987 143392 161316 215088 241974 286784 322632 362961 430176 483948 573568 645264 725922 860352 967896 1088883 1290528 1451844 1720704 1935792 2177766 2581056 2903688 3871584 4355532 5162112 5807376 7743168 8711064 11614752 15486336 17422128 23229504 34844256 46459008 69688512 139377024