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139250400 = 25352173413
BaseRepresentation
bin10000100110011…
…00101011100000
3100201000122122020
420103030223200
5241122003100
621452341440
73310415562
oct1023145340
9321018566
10139250400
117166a983
123a774880
1322b070b3
14146cb332
15c3595a0
hex84ccae0

139250400 has 144 divisors (see below), whose sum is σ = 480063024. Its totient is φ = 34938880.

The previous prime is 139250389. The next prime is 139250401. The reversal of 139250400 is 4052931.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139250401) 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 23 ways as a sum of consecutive naturals, for example, 39094 + ... + 42506.

It is an arithmetic number, because the mean of its divisors is an integer number (3333771).

Almost surely, 2139250400 is an apocalyptic number.

139250400 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 139250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240031512).

139250400 is an abundant number, since it is smaller than the sum of its proper divisors (340812624).

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

139250400 is a wasteful number, since it uses less digits than its factorization.

139250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 139250400 is about 11800.4406697377. The cubic root of 139250400 is about 518.3210146770.

The spelling of 139250400 in words is "one hundred thirty-nine million, two hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 3413 4080 5100 6800 6826 8160 10200 10239 13600 13652 17065 20400 20478 27304 34130 40800 40956 51195 54608 58021 68260 81912 85325 102390 109216 116042 136520 163824 170650 174063 204780 232084 255975 273040 290105 327648 341300 348126 409560 464168 511950 546080 580210 682600 696252 819120 870315 928336 1023900 1160420 1365200 1392504 1450525 1638240 1740630 1856672 2047800 2320840 2730400 2785008 2901050 3481260 4095600 4351575 4641680 5570016 5802100 6962520 8191200 8703150 9283360 11604200 13925040 17406300 23208400 27850080 34812600 46416800 69625200 139250400