Search a number
-
+
54147360 = 2535112807
BaseRepresentation
bin1100111010001…
…1100100100000
310202212222012210
43032203210200
5102330203420
65212322120
71225150011
oct316434440
9122788183
1054147360
1128623793
1216173340
13b2ab077
147297008
154b489e0
hex33a3920

54147360 has 48 divisors (see below), whose sum is σ = 170565696. Its totient is φ = 14439168.

The previous prime is 54147349. The next prime is 54147371. The reversal of 54147360 is 6374145.

It is an interprime number because it is at equal distance from previous prime (54147349) and next prime (54147371).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 55924 + ... + 56883.

It is an arithmetic number, because the mean of its divisors is an integer number (3553452).

Almost surely, 254147360 is an apocalyptic number.

It is an amenable number.

54147360 is an abundant number, since it is smaller than the sum of its proper divisors (116418336).

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

54147360 is a wasteful number, since it uses less digits than its factorization.

54147360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112825 (or 112817 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 54147360 is about 7358.4889753264. The cubic root of 54147360 is about 378.3198211497.

The spelling of 54147360 in words is "fifty-four million, one hundred forty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 112807 225614 338421 451228 564035 676842 902456 1128070 1353684 1692105 1804912 2256140 2707368 3384210 3609824 4512280 5414736 6768420 9024560 10829472 13536840 18049120 27073680 54147360