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13139600 = 2452107307
BaseRepresentation
bin110010000111…
…111010010000
3220201120010212
4302013322100
511330431400
61145343252
7216453605
oct62077220
926646125
1013139600
117464a81
124497b28
132950916
141a606ac
151248335
hexc87e90

13139600 has 60 divisors (see below), whose sum is σ = 31966704. Its totient is φ = 5189760.

The previous prime is 13139597. The next prime is 13139611. The reversal of 13139600 is 693131.

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 11 ways as a sum of consecutive naturals, for example, 42647 + ... + 42953.

Almost surely, 213139600 is an apocalyptic number.

13139600 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 13139600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983352).

13139600 is an abundant number, since it is smaller than the sum of its proper divisors (18827104).

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

13139600 is a wasteful number, since it uses less digits than its factorization.

13139600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 13139600 is about 3624.8586179326. The cubic root of 13139600 is about 235.9721311533.

The spelling of 13139600 in words is "thirteen million, one hundred thirty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 307 400 428 535 614 856 1070 1228 1535 1712 2140 2456 2675 3070 4280 4912 5350 6140 7675 8560 10700 12280 15350 21400 24560 30700 32849 42800 61400 65698 122800 131396 164245 262792 328490 525584 656980 821225 1313960 1642450 2627920 3284900 6569800 13139600