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139581900 = 223352173041
BaseRepresentation
bin10000101000111…
…01100111001100
3100201122111101000
420110131213030
5241213110100
621503420300
73313266213
oct1024354714
9321574330
10139581900
1171876a47
123a8b4690
1322bc1c53
141477607a
15c3c2900
hex851d9cc

139581900 has 144 divisors (see below), whose sum is σ = 475282080. Its totient is φ = 35020800.

The previous prime is 139581881. The next prime is 139581907. The reversal of 139581900 is 9185931.

It is a happy number.

It is a super-2 number, since 2×1395819002 = 38966213615220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (139581907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44380 + ... + 47420.

It is an arithmetic number, because the mean of its divisors is an integer number (3300570).

Almost surely, 2139581900 is an apocalyptic number.

139581900 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 139581900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237641040).

139581900 is an abundant number, since it is smaller than the sum of its proper divisors (335700180).

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

139581900 is a wasteful number, since it uses less digits than its factorization.

139581900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 139581900 is about 11814.4784057528. The cubic root of 139581900 is about 518.7319943429.

The spelling of 139581900 in words is "one hundred thirty-nine million, five hundred eighty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2550 2700 3041 3060 3825 4590 5100 6082 7650 9123 9180 11475 12164 15205 15300 18246 22950 27369 30410 36492 45615 45900 51697 54738 60820 76025 82107 91230 103394 109476 136845 152050 155091 164214 182460 206788 228075 258485 273690 304100 310182 328428 410535 456150 465273 516970 547380 620364 684225 775455 821070 912300 930546 1033940 1292425 1368450 1395819 1550910 1642140 1861092 2052675 2326365 2584850 2736900 2791638 3101820 3877275 4105350 4652730 5169700 5583276 6979095 7754550 8210700 9305460 11631825 13958190 15509100 23263650 27916380 34895475 46527300 69790950 139581900