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138427360 = 2553767349
BaseRepresentation
bin10000100000000…
…11101111100000
3100122110211122021
420100003233200
5240414133420
621422551224
73300420211
oct1020035740
9318424567
10138427360
1171158585
123a438514
13228a95a6
1414555408
15c2457aa
hex8403be0

138427360 has 96 divisors (see below), whose sum is σ = 341863200. Its totient is φ = 52918272.

The previous prime is 138427349. The next prime is 138427391. The reversal of 138427360 is 63724831.

It is a happy number.

It is a super-3 number, since 3×1384273603 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396466 + ... + 396814.

It is an arithmetic number, because the mean of its divisors is an integer number (3561075).

Almost surely, 2138427360 is an apocalyptic number.

138427360 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 138427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170931600).

138427360 is an abundant number, since it is smaller than the sum of its proper divisors (203435840).

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

138427360 is a wasteful number, since it uses less digits than its factorization.

138427360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 138427360 is about 11765.5157133039. The cubic root of 138427360 is about 517.2978167301.

The spelling of 138427360 in words is "one hundred thirty-eight million, four hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 67 74 80 134 148 160 185 268 296 335 349 370 536 592 670 698 740 1072 1184 1340 1396 1480 1745 2144 2479 2680 2792 2960 3490 4958 5360 5584 5920 6980 9916 10720 11168 12395 12913 13960 19832 23383 24790 25826 27920 39664 46766 49580 51652 55840 64565 79328 93532 99160 103304 116915 129130 187064 198320 206608 233830 258260 374128 396640 413216 467660 516520 748256 865171 935320 1033040 1730342 1870640 2066080 3460684 3741280 4325855 6921368 8651710 13842736 17303420 27685472 34606840 69213680 138427360