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139426400 = 2552397439
BaseRepresentation
bin10000100111101…
…11101001100000
3100201100121001202
420103313221200
5241143121100
621500220332
73312050651
oct1023675140
9321317052
10139426400
1171780133
123a83a6a8
1322b69239
1414735528
15c3917d5
hex84f7a60

139426400 has 72 divisors (see below), whose sum is σ = 342009360. Its totient is φ = 55503360.

The previous prime is 139426379. The next prime is 139426429. The reversal of 139426400 is 4624931.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 317381 + ... + 317819.

It is an arithmetic number, because the mean of its divisors is an integer number (4750130).

Almost surely, 2139426400 is an apocalyptic number.

139426400 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 139426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171004680).

139426400 is an abundant number, since it is smaller than the sum of its proper divisors (202582960).

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

139426400 is a wasteful number, since it uses less digits than its factorization.

139426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 139426400 is about 11807.8956634957. The cubic root of 139426400 is about 518.5392931460.

The spelling of 139426400 in words is "one hundred thirty-nine million, four hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 397 400 439 794 800 878 1588 1756 1985 2195 3176 3512 3970 4390 6352 7024 7940 8780 9925 10975 12704 14048 15880 17560 19850 21950 31760 35120 39700 43900 63520 70240 79400 87800 158800 174283 175600 317600 348566 351200 697132 871415 1394264 1742830 2788528 3485660 4357075 5577056 6971320 8714150 13942640 17428300 27885280 34856600 69713200 139426400