Search a number
-
+
54770240 = 26573499
BaseRepresentation
bin1101000011101…
…1101001000000
310211001121122102
43100323221000
5103010121430
65233525532
71233353000
oct320735100
9124047572
1054770240
1128a09768
12164138a8
13b468735
1473ba000
154c1d345
hex343ba40

54770240 has 112 divisors (see below), whose sum is σ = 152400000. Its totient is φ = 18740736.

The previous prime is 54770237. The next prime is 54770257. The reversal of 54770240 is 4207745.

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

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, 109511 + ... + 110009.

Almost surely, 254770240 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 54770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76200000).

54770240 is an abundant number, since it is smaller than the sum of its proper divisors (97629760).

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

54770240 is an equidigital number, since it uses as much as digits as its factorization.

54770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 54770240 is about 7400.6918595493. The cubic root of 54770240 is about 379.7649515941.

Adding to 54770240 its reverse (4207745), we get a palindrome (58977985).

The spelling of 54770240 in words is "fifty-four million, seven hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 343 392 448 490 499 560 686 784 980 998 1120 1372 1568 1715 1960 1996 2240 2495 2744 3136 3430 3493 3920 3992 4990 5488 6860 6986 7840 7984 9980 10976 13720 13972 15680 15968 17465 19960 21952 24451 27440 27944 31936 34930 39920 48902 54880 55888 69860 79840 97804 109760 111776 122255 139720 159680 171157 195608 223552 244510 279440 342314 391216 489020 558880 684628 782432 855785 978040 1117760 1369256 1564864 1711570 1956080 2738512 3423140 3912160 5477024 6846280 7824320 10954048 13692560 27385120 54770240