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138526680 = 2335712229
BaseRepresentation
bin10000100000110…
…11111111011000
3100122122212212210
420100123333120
5240430323210
621425035120
73301312605
oct1020337730
9318585783
10138526680
1171216166
123a485aa0
1322912866
141457d6ac
15c264e20
hex841bfd8

138526680 has 96 divisors (see below), whose sum is σ = 423356400. Its totient is φ = 36261120.

The previous prime is 138526679. The next prime is 138526697. The reversal of 138526680 is 86625831.

It is a happy number.

138526680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604806 + ... + 605034.

Almost surely, 2138526680 is an apocalyptic number.

138526680 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 138526680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211678200).

138526680 is an abundant number, since it is smaller than the sum of its proper divisors (284829720).

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

138526680 is a wasteful number, since it uses less digits than its factorization.

138526680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 138526680 is about 11769.7357659380. The cubic root of 138526680 is about 517.4215055162.

The spelling of 138526680 in words is "one hundred thirty-eight million, five hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 229 284 355 426 458 568 687 710 852 916 1065 1145 1374 1420 1704 1832 2130 2290 2748 2840 3435 4260 4580 5041 5496 6870 8520 9160 10082 13740 15123 16259 20164 25205 27480 30246 32518 40328 48777 50410 60492 65036 75615 81295 97554 100820 120984 130072 151230 162590 195108 201640 243885 302460 325180 390216 487770 604920 650360 975540 1154389 1951080 2308778 3463167 4617556 5771945 6926334 9235112 11543890 13852668 17315835 23087780 27705336 34631670 46175560 69263340 138526680