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138401780 = 225111574007
BaseRepresentation
bin10000011111111…
…01011111110100
3100122102112112212
420033331133310
5240412324110
621422232552
73300252506
oct1017753764
9318375485
10138401780
1171140340
123a425758
132289aa5a
1414549d76
15c23ce05
hex83fd7f4

138401780 has 48 divisors (see below), whose sum is σ = 319165056. Its totient is φ = 49994880.

The previous prime is 138401749. The next prime is 138401789. The reversal of 138401780 is 87104831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138401789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32537 + ... + 36543.

It is an arithmetic number, because the mean of its divisors is an integer number (6649272).

Almost surely, 2138401780 is an apocalyptic number.

138401780 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 138401780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159582528).

138401780 is an abundant number, since it is smaller than the sum of its proper divisors (180763276).

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

138401780 is a wasteful number, since it uses less digits than its factorization.

138401780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 138401780 is about 11764.4285879086. The cubic root of 138401780 is about 517.2659509359.

The spelling of 138401780 in words is "one hundred thirty-eight million, four hundred one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1570 1727 3140 3454 4007 6908 8014 8635 16028 17270 20035 34540 40070 44077 80140 88154 176308 220385 440770 629099 881540 1258198 2516396 3145495 6290990 6920089 12581980 13840178 27680356 34600445 69200890 138401780