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54834660 = 22325312317
BaseRepresentation
bin1101000100101…
…1010111100100
310211011220000100
43101023113210
5103014202120
65235144100
71234041546
oct321132744
9124156010
1054834660
1128a53101
1216445030
13b48bb5a
1473d5696
154c32490
hex344b5e4

54834660 has 108 divisors (see below), whose sum is σ = 172412604. Its totient is φ = 14106240.

The previous prime is 54834653. The next prime is 54834677. The reversal of 54834660 is 6643845.

54834660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9998244 + 44836416 = 3162^2 + 6696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172822 + ... + 173138.

It is an arithmetic number, because the mean of its divisors is an integer number (1596413).

Almost surely, 254834660 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 54834660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86206302).

54834660 is an abundant number, since it is smaller than the sum of its proper divisors (117577944).

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

54834660 is a wasteful number, since it uses less digits than its factorization.

54834660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 54834660 is about 7405.0428763107. The cubic root of 54834660 is about 379.9137846882.

The spelling of 54834660 in words is "fifty-four million, eight hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 317 372 465 558 620 634 930 951 961 1116 1268 1395 1585 1860 1902 1922 2790 2853 2883 3170 3804 3844 4755 4805 5580 5706 5766 6340 8649 9510 9610 9827 11412 11532 14265 14415 17298 19020 19220 19654 28530 28830 29481 34596 39308 43245 49135 57060 57660 58962 86490 88443 98270 117924 147405 172980 176886 196540 294810 304637 353772 442215 589620 609274 884430 913911 1218548 1523185 1768860 1827822 2741733 3046370 3655644 4569555 5483466 6092740 9139110 10966932 13708665 18278220 27417330 54834660