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139401000 = 2334531721
BaseRepresentation
bin10000100111100…
…01011100101000
3100201022022020000
420103301130220
5241141313000
621455503000
73311613624
oct1023613450
9321268200
10139401000
1171763042
123a827a60
1322b5a7cb
141472a184
15c389000
hex84f1728

139401000 has 160 divisors (see below), whose sum is σ = 487567080. Its totient is φ = 37152000.

The previous prime is 139400993. The next prime is 139401007. The reversal of 139401000 is 104931.

It is an interprime number because it is at equal distance from previous prime (139400993) and next prime (139401007).

It can be written as a sum of positive squares in 4 ways, for example, as 57426084 + 81974916 = 7578^2 + 9054^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (139401007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80140 + ... + 81860.

Almost surely, 2139401000 is an apocalyptic number.

139401000 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 139401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243783540).

139401000 is an abundant number, since it is smaller than the sum of its proper divisors (348166080).

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

139401000 is a wasteful number, since it uses less digits than its factorization.

139401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 139401000 is about 11806.8200629975. The cubic root of 139401000 is about 518.5078029406.

Adding to 139401000 its reverse (104931), we get a palindrome (139505931).

The spelling of 139401000 in words is "one hundred thirty-nine million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1721 1800 2025 2250 2700 3000 3240 3375 3442 4050 4500 5163 5400 6750 6884 8100 8605 9000 10125 10326 13500 13768 15489 16200 17210 20250 20652 25815 27000 30978 34420 40500 41304 43025 46467 51630 61956 68840 77445 81000 86050 92934 103260 123912 129075 139401 154890 172100 185868 206520 215125 232335 258150 278802 309780 344200 371736 387225 430250 464670 516300 557604 619560 645375 697005 774450 860500 929340 1032600 1115208 1161675 1290750 1394010 1548900 1721000 1858680 1936125 2323350 2581500 2788020 3097800 3485025 3872250 4646700 5163000 5576040 5808375 6970050 7744500 9293400 11616750 13940100 15489000 17425125 23233500 27880200 34850250 46467000 69700500 139401000