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138977180 = 225371091723
BaseRepresentation
bin10000100100010…
…01111110011100
3100200111202211222
420102021332130
5241034232210
621442432512
73305200166
oct1022117634
9320452758
10138977180
11714a3681
123a662738
1322a3c924
1414659936
15c303655
hex8489f9c

138977180 has 48 divisors (see below), whose sum is σ = 302665440. Its totient is φ = 53561088.

The previous prime is 138977173. The next prime is 138977197. The reversal of 138977180 is 81779831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79799 + ... + 81521.

It is an arithmetic number, because the mean of its divisors is an integer number (6305530).

Almost surely, 2138977180 is an apocalyptic number.

138977180 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 138977180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151332720).

138977180 is an abundant number, since it is smaller than the sum of its proper divisors (163688260).

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

138977180 is a wasteful number, since it uses less digits than its factorization.

138977180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 44.

The square root of 138977180 is about 11788.8582992587. The cubic root of 138977180 is about 517.9817974850.

The spelling of 138977180 in words is "one hundred thirty-eight million, nine hundred seventy-seven thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 370 436 545 740 1090 1723 2180 3446 4033 6892 8066 8615 16132 17230 20165 34460 40330 63751 80660 127502 187807 255004 318755 375614 637510 751228 939035 1275020 1878070 3756140 6948859 13897718 27795436 34744295 69488590 138977180