Search a number
-
+
54331060 = 22572347359
BaseRepresentation
bin1100111101000…
…0011010110100
310210020022012111
43033100122310
5102402043220
65220300404
71226543410
oct317203264
9123208174
1054331060
1128739803
1216241704
13b343874
147303d40
154b8315a
hex33d06b4

54331060 has 96 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 17390208.

The previous prime is 54331033. The next prime is 54331073. The reversal of 54331060 is 6013345.

54331060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 151161 + ... + 151519.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 254331060 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 54331060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

54331060 is an abundant number, since it is smaller than the sum of its proper divisors (85014860).

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

54331060 is a wasteful number, since it uses less digits than its factorization.

54331060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 54331060 is about 7370.9605886886. The cubic root of 54331060 is about 378.7471667417.

The spelling of 54331060 in words is "fifty-four million, three hundred thirty-one thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 47 70 92 94 115 140 161 188 230 235 322 329 359 460 470 644 658 718 805 940 1081 1316 1436 1610 1645 1795 2162 2513 3220 3290 3590 4324 5026 5405 6580 7180 7567 8257 10052 10810 12565 15134 16514 16873 21620 25130 30268 33028 33746 37835 41285 50260 57799 67492 75670 82570 84365 115598 118111 151340 165140 168730 231196 236222 288995 337460 388079 472444 577990 590555 776158 1155980 1181110 1552316 1940395 2362220 2716553 3880790 5433106 7761580 10866212 13582765 27165530 54331060