Search a number
-
+
54137061 = 321117191693
BaseRepresentation
bin1100111010000…
…1000011100101
310202212110002100
43032201003211
5102324341221
65212202313
71225104666
oct316410345
9122773070
1054137061
1128616a80
1216169399
13b2a6484
14729336d
154b45926
hex33a10e5

54137061 has 48 divisors (see below), whose sum is σ = 95135040. Its totient is φ = 29237760.

The previous prime is 54137053. The next prime is 54137077. The reversal of 54137061 is 16073145.

It is not a de Polignac number, because 54137061 - 23 = 54137053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54137011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31131 + ... + 32823.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 254137061 is an apocalyptic number.

54137061 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54137061 is a deficient number, since it is larger than the sum of its proper divisors (40997979).

54137061 is a wasteful number, since it uses less digits than its factorization.

54137061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 54137061 is about 7357.7891380496. The cubic root of 54137061 is about 378.2958337513.

The spelling of 54137061 in words is "fifty-four million, one hundred thirty-seven thousand, sixty-one".

Divisors: 1 3 9 11 17 19 33 51 57 99 153 171 187 209 323 561 627 969 1683 1693 1881 2907 3553 5079 10659 15237 18623 28781 31977 32167 55869 86343 96501 167607 259029 289503 316591 353837 546839 949773 1061511 1640517 2849319 3184533 4921551 6015229 18045687 54137061