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654136340 = 2251113439521
BaseRepresentation
bin100110111111010…
…101010000010100
31200120212120100212
4212333111100110
52314424330330
6144524224552
722132032014
oct4677252024
91616776325
10654136340
11306274350
1216309b158
13a56a1930
1462c39c44
153c663295
hex26fd5414

654136340 has 96 divisors (see below), whose sum is σ = 1620622080. Its totient is φ = 218649600.

The previous prime is 654136337. The next prime is 654136349. The reversal of 654136340 is 43631456.

654136340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 654136297 and 654136306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654136349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1255280 + ... + 1255800.

It is an arithmetic number, because the mean of its divisors is an integer number (16881480).

Almost surely, 2654136340 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 654136340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810311040).

654136340 is an abundant number, since it is smaller than the sum of its proper divisors (966485740).

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

654136340 is a wasteful number, since it uses less digits than its factorization.

654136340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 654136340 is about 25576.0892241171. The cubic root of 654136340 is about 868.0726878187.

Adding to 654136340 its reverse (43631456), we get a palindrome (697767796).

The spelling of 654136340 in words is "six hundred fifty-four million, one hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 439 521 572 715 878 1042 1430 1756 2084 2195 2605 2860 4390 4829 5210 5707 5731 6773 8780 9658 10420 11414 11462 13546 19316 22828 22924 24145 27092 28535 28655 33865 48290 57070 57310 62777 67730 74503 96580 114140 114620 125554 135460 149006 228719 251108 298012 313885 372515 457438 627770 745030 914876 1143595 1255540 1490060 2287190 2515909 2973347 4574380 5031818 5946694 10063636 11893388 12579545 14866735 25159090 29733470 32706817 50318180 59466940 65413634 130827268 163534085 327068170 654136340