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139228800 = 2735214503
BaseRepresentation
bin10000100110001…
…11011010000000
3100200222120000020
420103013122000
5241120310200
621452053440
73310265604
oct1023073200
9320876006
10139228800
1171655727
123a764280
1322aca309
14146c3504
15c352ea0
hex84c7680

139228800 has 96 divisors (see below), whose sum is σ = 458616480. Its totient is φ = 37125120.

The previous prime is 139228783. The next prime is 139228801. The reversal of 139228800 is 8822931.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (139228801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2349 + ... + 16851.

It is an arithmetic number, because the mean of its divisors is an integer number (4777255).

Almost surely, 2139228800 is an apocalyptic number.

139228800 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 139228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229308240).

139228800 is an abundant number, since it is smaller than the sum of its proper divisors (319387680).

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

139228800 is a wasteful number, since it uses less digits than its factorization.

139228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14530 (or 14513 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 139228800 is about 11799.5254141851. The cubic root of 139228800 is about 518.2942132870.

It can be divided in two parts, 13922 and 8800, that added together give a palindrome (22722).

The spelling of 139228800 in words is "one hundred thirty-nine million, two hundred twenty-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 14503 29006 43509 58012 72515 87018 116024 145030 174036 217545 232048 290060 348072 362575 435090 464096 580120 696144 725150 870180 928192 1087725 1160240 1392288 1450300 1740360 1856384 2175450 2320480 2784576 2900600 3480720 4350900 4640960 5569152 5801200 6961440 8701800 9281920 11602400 13922880 17403600 23204800 27845760 34807200 46409600 69614400 139228800