Search a number
-
+
5131320040 = 2357116432591
BaseRepresentation
bin1001100011101100…
…11011101011101000
3111020121111001210101
410301312123223220
541002104220130
62205101555144
7241105333510
oct46166335350
914217431711
105131320040
1121a3550770
12bb2575ab4
1363a11a162
143696c6840
152007461ca
hex131d9bae8

5131320040 has 128 divisors (see below), whose sum is σ = 14422302720. Its totient is φ = 1596268800.

The previous prime is 5131320031. The next prime is 5131320041. The reversal of 5131320040 is 400231315.

It is not an unprimeable number, because it can be changed into a prime (5131320041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979145 + ... + 1981735.

It is an arithmetic number, because the mean of its divisors is an integer number (112674240).

Almost surely, 25131320040 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 5131320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211151360).

5131320040 is an abundant number, since it is smaller than the sum of its proper divisors (9290982680).

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

5131320040 is a wasteful number, since it uses less digits than its factorization.

5131320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 5131320040 is about 71633.2327903746. The cubic root of 5131320040 is about 1724.8170403167.

Adding to 5131320040 its reverse (400231315), we get a palindrome (5531551355).

The spelling of 5131320040 in words is "five billion, one hundred thirty-one million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 643 770 1286 1540 2572 2591 3080 3215 4501 5144 5182 6430 7073 9002 10364 12860 12955 14146 18004 18137 20728 22505 25720 25910 28292 28501 35365 36008 36274 45010 49511 51820 56584 57002 70730 72548 90020 90685 99022 103640 114004 141460 142505 145096 180040 181370 198044 199507 228008 247555 282920 285010 362740 396088 399014 495110 570020 725480 798028 990220 997535 1140040 1596056 1666013 1980440 1995070 3332026 3990140 6664052 7980280 8330065 11662091 13328104 16660130 18326143 23324182 33320260 36652286 46648364 58310455 66640520 73304572 91630715 93296728 116620910 128283001 146609144 183261430 233241820 256566002 366522860 466483640 513132004 641415005 733045720 1026264008 1282830010 2565660020 5131320040