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5130240 = 21135167
BaseRepresentation
bin10011100100100000000000
3100122122100220
4103210200000
52303131430
6301543040
761414653
oct23444000
910578326
105130240
112994475
121874a80
1310a815b
1497789a
156b5110
hex4e4800

5130240 has 96 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1359872.

The previous prime is 5130179. The next prime is 5130253. The reversal of 5130240 is 420315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30637 + ... + 30803.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 25130240 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 5130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5130240 is an abundant number, since it is smaller than the sum of its proper divisors (11380800).

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

5130240 is a wasteful number, since it uses less digits than its factorization.

5130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5130240 is about 2265.0033112559. The cubic root of 5130240 is about 172.4696018689.

Subtracting from 5130240 its sum of digits (15), we obtain a square (5130225 = 22652).

Adding to 5130240 its reverse (420315), we get a palindrome (5550555).

The spelling of 5130240 in words is "five million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 167 192 240 256 320 334 384 480 501 512 640 668 768 835 960 1002 1024 1280 1336 1536 1670 1920 2004 2048 2505 2560 2672 3072 3340 3840 4008 5010 5120 5344 6144 6680 7680 8016 10020 10240 10688 13360 15360 16032 20040 21376 26720 30720 32064 40080 42752 53440 64128 80160 85504 106880 128256 160320 171008 213760 256512 320640 342016 427520 513024 641280 855040 1026048 1282560 1710080 2565120 5130240