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3139136 = 26731113
BaseRepresentation
bin1011111110011001000000
312220111002022
423332121000
51300423021
6151141012
735453000
oct13763100
95814068
103139136
111854530
121074768
1385baa0
145ba000
154201ab
hex2fe640

3139136 has 112 divisors (see below), whose sum is σ = 8534400. Its totient is φ = 1128960.

The previous prime is 3139111. The next prime is 3139141. The reversal of 3139136 is 6319313.

3139136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 241466 + ... + 241478.

It is an arithmetic number, because the mean of its divisors is an integer number (76200).

Almost surely, 23139136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267200).

3139136 is an abundant number, since it is smaller than the sum of its proper divisors (5395264).

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

3139136 is a wasteful number, since it uses less digits than its factorization.

3139136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 33 counting only the distinct ones).

The product of its digits is 1458, while the sum is 26.

The square root of 3139136 is about 1771.7607061903. The cubic root of 3139136 is about 146.4210028892.

It can be divided in two parts, 313 and 9136, that added together give a palindrome (9449).

The spelling of 3139136 in words is "three million, one hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 64 77 88 91 98 104 112 143 154 176 182 196 208 224 286 308 343 352 364 392 416 448 539 572 616 637 686 704 728 784 832 1001 1078 1144 1232 1274 1372 1456 1568 2002 2156 2288 2464 2548 2744 2912 3136 3773 4004 4312 4459 4576 4928 5096 5488 5824 7007 7546 8008 8624 8918 9152 10192 10976 14014 15092 16016 17248 17836 20384 21952 28028 30184 32032 34496 35672 40768 49049 56056 60368 64064 71344 98098 112112 120736 142688 196196 224224 241472 285376 392392 448448 784784 1569568 3139136