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138559720 = 235132103199
BaseRepresentation
bin10000100001001…
…00000011101000
3100122201120012111
420100210003220
5240432402340
621425452104
73301511125
oct1020440350
9318646174
10138559720
1171238a72
123a4a1034
1322924900
141458b74c
15c26eaea
hex84240e8

138559720 has 96 divisors (see below), whose sum is σ = 342576000. Its totient is φ = 50409216.

The previous prime is 138559703. The next prime is 138559727. The reversal of 138559720 is 27955831.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (138559727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696181 + ... + 696379.

It is an arithmetic number, because the mean of its divisors is an integer number (3568500).

Almost surely, 2138559720 is an apocalyptic number.

138559720 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 138559720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171288000).

138559720 is an abundant number, since it is smaller than the sum of its proper divisors (204016280).

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

138559720 is a wasteful number, since it uses less digits than its factorization.

138559720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 138559720 is about 11771.1392821596. The cubic root of 138559720 is about 517.4626389825.

The spelling of 138559720 in words is "one hundred thirty-eight million, five hundred fifty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 169 199 206 260 338 398 412 515 520 676 796 824 845 995 1030 1339 1352 1592 1690 1990 2060 2587 2678 3380 3980 4120 5174 5356 6695 6760 7960 10348 10712 12935 13390 17407 20497 20696 25870 26780 33631 34814 40994 51740 53560 67262 69628 81988 87035 102485 103480 134524 139256 163976 168155 174070 204970 266461 269048 336310 348140 409940 532922 672620 696280 819880 1065844 1332305 1345240 2131688 2664610 3463993 5329220 6927986 10658440 13855972 17319965 27711944 34639930 69279860 138559720