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59241 = 3721331
BaseRepresentation
bin1110011101101001
310000021010
432131221
53343431
61134133
7334500
oct163551
9100233
1059241
1140566
122a349
1320c70
1417837
1512846
hexe769

59241 has 24 divisors (see below), whose sum is σ = 102144. Its totient is φ = 30240.

The previous prime is 59239. The next prime is 59243. The reversal of 59241 is 14295.

Added to its reverse (14295) it gives a triangular number (73536 = T383).

It is an interprime number because it is at equal distance from previous prime (59239) and next prime (59243).

It is not a de Polignac number, because 59241 - 21 = 59239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 53 + 95 + 2 + 43 + 1 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59241.

It is not an unprimeable number, because it can be changed into a prime (59243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1896 + ... + 1926.

It is an arithmetic number, because the mean of its divisors is an integer number (4256).

259241 is an apocalyptic number.

It is an amenable number.

59241 is a deficient number, since it is larger than the sum of its proper divisors (42903).

59241 is a wasteful number, since it uses less digits than its factorization.

59241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 54 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 59241 is about 243.3947411100. The cubic root of 59241 is about 38.9828984850.

Adding to 59241 its reverse (14295), we get a triangular number (73536 = T383).

It can be divided in two parts, 59 and 241, that added together give a triangular number (300 = T24).

The spelling of 59241 in words is "fifty-nine thousand, two hundred forty-one".

Divisors: 1 3 7 13 21 31 39 49 91 93 147 217 273 403 637 651 1209 1519 1911 2821 4557 8463 19747 59241