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5153040 = 2432517421
BaseRepresentation
bin10011101010000100010000
3100200210122100
4103222010100
52304344130
6302240400
761541304
oct23520420
910623570
105153040
1129aa612
121886100
1310b5649
14981d04
156bbc60
hex4ea110

5153040 has 120 divisors (see below), whose sum is σ = 18367128. Its totient is φ = 1290240.

The previous prime is 5153021. The next prime is 5153041. The reversal of 5153040 is 403515.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 5089536 = 252^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5153041) 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, 12030 + ... + 12450.

Almost surely, 25153040 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 5153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9183564).

5153040 is an abundant number, since it is smaller than the sum of its proper divisors (13214088).

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

5153040 is a wasteful number, since it uses less digits than its factorization.

5153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5153040 is about 2270.0308367950. The cubic root of 5153040 is about 172.7247228701.

Adding to 5153040 its reverse (403515), we get a palindrome (5556555).

The spelling of 5153040 in words is "five million, one hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 421 510 612 680 720 765 816 842 1020 1224 1263 1360 1530 1684 2040 2105 2448 2526 3060 3368 3789 4080 4210 5052 6120 6315 6736 7157 7578 8420 10104 12240 12630 14314 15156 16840 18945 20208 21471 25260 28628 30312 33680 35785 37890 42942 50520 57256 60624 64413 71570 75780 85884 101040 107355 114512 128826 143140 151560 171768 214710 257652 286280 303120 322065 343536 429420 515304 572560 644130 858840 1030608 1288260 1717680 2576520 5153040