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138582276 = 223719312801
BaseRepresentation
bin10000100001010…
…01100100000100
3100122202201010220
420100221210010
5240434113101
621430144340
73301633650
oct1020514404
9318681126
10138582276
1171253a08
123a4b20b0
1322931c61
1414595a60
15c276636
hex8429904

138582276 has 96 divisors (see below), whose sum is σ = 401694720. Its totient is φ = 36288000.

The previous prime is 138582239. The next prime is 138582281. The reversal of 138582276 is 672285831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48076 + ... + 50876.

It is an arithmetic number, because the mean of its divisors is an integer number (4184320).

Almost surely, 2138582276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138582276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200847360).

138582276 is an abundant number, since it is smaller than the sum of its proper divisors (263112444).

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

138582276 is a wasteful number, since it uses less digits than its factorization.

138582276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2863 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 138582276 is about 11772.0973492407. The cubic root of 138582276 is about 517.4907165363.

The spelling of 138582276 in words is "one hundred thirty-eight million, five hundred eighty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 57 62 76 84 93 114 124 133 186 217 228 266 372 399 434 532 589 651 798 868 1178 1302 1596 1767 2356 2604 2801 3534 4123 5602 7068 8246 8403 11204 12369 16492 16806 19607 24738 33612 39214 49476 53219 58821 78428 86831 106438 117642 159657 173662 212876 235284 260493 319314 347324 372533 520986 607817 638628 745066 1041972 1117599 1215634 1490132 1649789 1823451 2235198 2431268 3299578 3646902 4470396 4949367 6599156 7293804 9898734 11548523 19797468 23097046 34645569 46194092 69291138 138582276