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138550880 = 25513591129
BaseRepresentation
bin10000100001000…
…01111001100000
3100122201010002002
420100201321200
5240432112010
621425343132
73301443266
oct1020417140
9318633062
10138550880
1171232366
123a497aa8
1322920890
1414588436
15c26c1a5
hex8421e60

138550880 has 96 divisors (see below), whose sum is σ = 358797600. Its totient is φ = 50245632.

The previous prime is 138550879. The next prime is 138550883. The reversal of 138550880 is 88055831.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138550883) 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, 122156 + ... + 123284.

It is an arithmetic number, because the mean of its divisors is an integer number (3737475).

Almost surely, 2138550880 is an apocalyptic number.

138550880 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 138550880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179398800).

138550880 is an abundant number, since it is smaller than the sum of its proper divisors (220246720).

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

138550880 is a wasteful number, since it uses less digits than its factorization.

138550880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The square root of 138550880 is about 11770.7637815054. The cubic root of 138550880 is about 517.4516341801.

The spelling of 138550880 in words is "one hundred thirty-eight million, five hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 65 80 104 118 130 160 208 236 260 295 416 472 520 590 767 944 1040 1129 1180 1534 1888 2080 2258 2360 3068 3835 4516 4720 5645 6136 7670 9032 9440 11290 12272 14677 15340 18064 22580 24544 29354 30680 36128 45160 58708 61360 66611 73385 90320 117416 122720 133222 146770 180640 234832 266444 293540 333055 469664 532888 587080 666110 865943 1065776 1174160 1332220 1731886 2131552 2348320 2664440 3463772 4329715 5328880 6927544 8659430 10657760 13855088 17318860 27710176 34637720 69275440 138550880