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139071400 = 23521389601
BaseRepresentation
bin10000100101000…
…00111110101000
3100200200120002121
420102200332220
5241100241100
621444441024
73306041656
oct1022407650
9320616077
10139071400
1171558446
123a6a9174
1322a73790
1414681dd6
15c32151a
hex84a0fa8

139071400 has 96 divisors (see below), whose sum is σ = 352711800. Its totient is φ = 50688000.

The previous prime is 139071391. The next prime is 139071461. The reversal of 139071400 is 4170931.

It can be written as a sum of positive squares in 12 ways, for example, as 820836 + 138250564 = 906^2 + 11758^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231100 + ... + 231700.

Almost surely, 2139071400 is an apocalyptic number.

139071400 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 139071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176355900).

139071400 is an abundant number, since it is smaller than the sum of its proper divisors (213640400).

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

139071400 is a wasteful number, since it uses less digits than its factorization.

139071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 139071400 is about 11792.8537682785. The cubic root of 139071400 is about 518.0988268182.

The spelling of 139071400 in words is "one hundred thirty-nine million, seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 89 100 104 130 178 200 260 325 356 445 520 601 650 712 890 1157 1202 1300 1780 2225 2314 2404 2600 3005 3560 4450 4628 4808 5785 6010 7813 8900 9256 11570 12020 15025 15626 17800 23140 24040 28925 30050 31252 39065 46280 53489 57850 60100 62504 78130 106978 115700 120200 156260 195325 213956 231400 267445 312520 390650 427912 534890 695357 781300 1069780 1337225 1390714 1562600 2139560 2674450 2781428 3476785 5348900 5562856 6953570 10697800 13907140 17383925 27814280 34767850 69535700 139071400