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139914600 = 23352724759
BaseRepresentation
bin10000101011011…
…10110101101000
3100202021101202020
420111232311220
5241304231400
621514504440
73316153200
oct1025566550
9322241666
10139914600
1171a83a01
123aa35120
1322caa507
1414821400
15c43b2a0
hex856ed68

139914600 has 144 divisors (see below), whose sum is σ = 504655200. Its totient is φ = 31973760.

The previous prime is 139914587. The next prime is 139914631. The reversal of 139914600 is 6419931.

139914600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27021 + ... + 31779.

It is an arithmetic number, because the mean of its divisors is an integer number (3504550).

Almost surely, 2139914600 is an apocalyptic number.

139914600 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 139914600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252327600).

139914600 is an abundant number, since it is smaller than the sum of its proper divisors (364740600).

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

139914600 is a wasteful number, since it uses less digits than its factorization.

139914600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 139914600 is about 11828.5502070203. The cubic root of 139914600 is about 519.1438079963.

The spelling of 139914600 in words is "one hundred thirty-nine million, nine hundred fourteen thousand, six hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4759 4900 5880 7350 9518 9800 14277 14700 19036 23795 28554 29400 33313 38072 47590 57108 66626 71385 95180 99939 114216 118975 133252 142770 166565 190360 199878 233191 237950 266504 285540 333130 356925 399756 466382 475900 499695 571080 666260 699573 713850 799512 832825 932764 951800 999390 1165955 1332520 1399146 1427700 1665650 1865528 1998780 2331910 2498475 2798292 2855400 3331300 3497865 3997560 4663820 4996950 5596584 5829775 6662600 6995730 9327640 9993900 11659550 13991460 17489325 19987800 23319100 27982920 34978650 46638200 69957300 139914600