Search a number
-
+
2531145630 = 23513231811559
BaseRepresentation
bin1001011011011110…
…0011011110011110
320112101210112001110
42112313203132132
520140433130010
61055055122450
7116503245216
oct22667433636
96471715043
102531145630
1110898471a2
125a7813426
13314515a10
141a023b246
15ec32e120
hex96de379e

2531145630 has 128 divisors (see below), whose sum is σ = 6868592640. Its totient is φ = 592289280.

The previous prime is 2531145613. The next prime is 2531145677. The reversal of 2531145630 is 365411352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1622791 + ... + 1624349.

It is an arithmetic number, because the mean of its divisors is an integer number (53660880).

Almost surely, 22531145630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531145630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434296320).

2531145630 is an abundant number, since it is smaller than the sum of its proper divisors (4337447010).

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

2531145630 is a wasteful number, since it uses less digits than its factorization.

2531145630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2531145630 is about 50310.4922456539. The cubic root of 2531145630 is about 1362.8217132184.

Adding to 2531145630 its reverse (365411352), we get a palindrome (2896556982).

The spelling of 2531145630 in words is "two billion, five hundred thirty-one million, one hundred forty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 181 195 230 299 345 362 390 543 598 690 897 905 1086 1495 1559 1794 1810 2353 2715 2990 3118 4163 4485 4677 4706 5430 7059 7795 8326 8970 9354 11765 12489 14118 15590 20267 20815 23385 23530 24978 35295 35857 40534 41630 46770 54119 60801 62445 70590 71714 101335 107571 108238 121602 124890 162357 179285 202670 215142 270595 282179 304005 324714 358570 466141 537855 541190 564358 608010 811785 846537 932282 1075710 1398423 1410895 1623570 1693074 2330705 2796846 2821790 3668327 4232685 4661410 6490117 6992115 7336654 8465370 11004981 12980234 13984230 18341635 19470351 22009962 32450585 36683270 38940702 55024905 64901170 84371521 97351755 110049810 168743042 194703510 253114563 421857605 506229126 843715210 1265572815 2531145630