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5760234 = 23431237
BaseRepresentation
bin10101111110010011101010
3101211122120000
4111332103222
52433311414
6323243430
766650454
oct25762352
911748500
105760234
113284827
121b19576
131268b2c
14a9d2d4
1578bb09
hex57e4ea

5760234 has 60 divisors (see below), whose sum is σ = 13697442. Its totient is φ = 1807920.

The previous prime is 5760233. The next prime is 5760247. The reversal of 5760234 is 4320675.

It is a happy number.

5760234 is a `hidden beast` number, since 57 + 602 + 3 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3814209 + 1946025 = 1953^2 + 1395^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5760198 and 5760207.

It is not an unprimeable number, because it can be changed into a prime (5760233) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 155664 + ... + 155700.

Almost surely, 25760234 is an apocalyptic number.

5760234 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5760234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848721).

5760234 is an abundant number, since it is smaller than the sum of its proper divisors (7937208).

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

5760234 is a wasteful number, since it uses less digits than its factorization.

5760234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5760234 is about 2400.0487495049. The cubic root of 5760234 is about 179.2586172570.

The spelling of 5760234 in words is "five million, seven hundred sixty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 81 93 111 162 186 222 279 333 558 666 837 961 999 1147 1674 1922 1998 2294 2511 2883 2997 3441 5022 5766 5994 6882 8649 10323 17298 20646 25947 30969 35557 51894 61938 71114 77841 92907 106671 155682 185814 213342 320013 640026 960039 1920078 2880117 5760234