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54941320 = 2357239821
BaseRepresentation
bin1101000110010…
…1011010001000
310211101022022201
43101211122020
5103031110240
65241325544
71234664530
oct321453210
9124338281
1054941320
1129016255
12164968b4
13b4c8575
1474224c0
154c53d9a
hex3465688

54941320 has 64 divisors (see below), whose sum is σ = 142041600. Its totient is φ = 18735360.

The previous prime is 54941317. The next prime is 54941321. The reversal of 54941320 is 2314945.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (54941321) by changing a digit.

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, 66510 + ... + 67330.

It is an arithmetic number, because the mean of its divisors is an integer number (2219400).

Almost surely, 254941320 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 54941320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71020800).

54941320 is an abundant number, since it is smaller than the sum of its proper divisors (87100280).

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

54941320 is a wasteful number, since it uses less digits than its factorization.

54941320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 54941320 is about 7412.2412265117. The cubic root of 54941320 is about 380.1599511305.

The spelling of 54941320 in words is "fifty-four million, nine hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 239 280 478 821 956 1195 1642 1673 1912 2390 3284 3346 4105 4780 5747 6568 6692 8210 8365 9560 11494 13384 16420 16730 22988 28735 32840 33460 45976 57470 66920 114940 196219 229880 392438 784876 981095 1373533 1569752 1962190 2747066 3924380 5494132 6867665 7848760 10988264 13735330 27470660 54941320