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139182100 = 22521091132
BaseRepresentation
bin10000100101111…
…00000000010100
3100200220011221121
420102330000110
5241112311400
621451053324
73310012501
oct1022740024
9320804847
10139182100
1171623632
123a741244
1322ab1c95
14146b04a8
15c34421a
hex84bc014

139182100 has 54 divisors (see below), whose sum is σ = 307517210. Its totient is φ = 54673920.

The previous prime is 139182097. The next prime is 139182137. The reversal of 139182100 is 1281931.

139182100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 108910096 + 30272004 = 10436^2 + 5502^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1231644 + ... + 1231756.

Almost surely, 2139182100 is an apocalyptic number.

139182100 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 139182100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153758605).

139182100 is an abundant number, since it is smaller than the sum of its proper divisors (168335110).

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

139182100 is a wasteful number, since it uses less digits than its factorization.

139182100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 139182100 is about 11797.5463550689. The cubic root of 139182100 is about 518.2362582124.

The spelling of 139182100 in words is "one hundred thirty-nine million, one hundred eighty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 113 218 226 436 452 545 565 1090 1130 2180 2260 2725 2825 5450 5650 10900 11300 12317 12769 24634 25538 49268 51076 61585 63845 123170 127690 246340 255380 307925 319225 615850 638450 1231700 1276900 1391821 2783642 5567284 6959105 13918210 27836420 34795525 69591050 139182100