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139026900 = 223524189127
BaseRepresentation
bin10000100100101…
…10000111010100
3100200121022001110
420102112013110
5241042330100
621443455020
73305465145
oct1022260724
9320538043
10139026900
1171527a71
123a687470
1322a5944c
141466dacc
15c313250
hex84961d4

139026900 has 144 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 35481600.

The previous prime is 139026887. The next prime is 139026907. The reversal of 139026900 is 9620931.

It is a super-2 number, since 2×1390269002 = 38656957847220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139026907) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1094637 + ... + 1094763.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 2139026900 is an apocalyptic number.

139026900 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 139026900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

139026900 is an abundant number, since it is smaller than the sum of its proper divisors (280946220).

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

139026900 is a wasteful number, since it uses less digits than its factorization.

139026900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 139026900 is about 11790.9668814733. The cubic root of 139026900 is about 518.0435605849.

It can be divided in two parts, 13902 and 6900, that added together give a palindrome (20802).

The spelling of 139026900 in words is "one hundred thirty-nine million, twenty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 89 100 123 127 150 164 178 205 246 254 267 300 356 381 410 445 492 508 534 615 635 762 820 890 1025 1068 1230 1270 1335 1524 1780 1905 2050 2225 2460 2540 2670 3075 3175 3649 3810 4100 4450 5207 5340 6150 6350 6675 7298 7620 8900 9525 10414 10947 11303 12300 12700 13350 14596 15621 18245 19050 20828 21894 22606 26035 26700 31242 33909 36490 38100 43788 45212 52070 54735 56515 62484 67818 72980 78105 91225 104140 109470 113030 130175 135636 156210 169545 182450 218940 226060 260350 273675 282575 312420 339090 364900 390525 463423 520700 547350 565150 678180 781050 847725 926846 1094700 1130300 1390269 1562100 1695450 1853692 2317115 2780538 3390900 4634230 5561076 6951345 9268460 11585575 13902690 23171150 27805380 34756725 46342300 69513450 139026900