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514131040 = 25597157211
BaseRepresentation
bin11110101001010…
…000010001100000
31022211102120012101
4132221100101200
52023104143130
6123003340144
715512020213
oct3651202140
91284376171
10514131040
11244239295
12124221654
1382692067
144c3d377a
153020a1ca
hex1ea50460

514131040 has 96 divisors (see below), whose sum is σ = 1240825824. Its totient is φ = 201277440.

The previous prime is 514131031. The next prime is 514131047. The reversal of 514131040 is 40131415.

It is a junction number, because it is equal to n+sod(n) for n = 514130999 and 514131017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514131047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2436535 + ... + 2436745.

It is an arithmetic number, because the mean of its divisors is an integer number (12925269).

Almost surely, 2514131040 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 514131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620412912).

514131040 is an abundant number, since it is smaller than the sum of its proper divisors (726694784).

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

514131040 is a wasteful number, since it uses less digits than its factorization.

514131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 514131040 is about 22674.4578766505. The cubic root of 514131040 is about 801.1083803238.

Adding to 514131040 its reverse (40131415), we get a palindrome (554262455).

The spelling of 514131040 in words is "five hundred fourteen million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 157 160 194 211 314 388 422 485 628 776 785 844 970 1055 1256 1552 1570 1688 1940 2110 2512 3104 3140 3376 3880 4220 5024 6280 6752 7760 8440 12560 15229 15520 16880 20467 25120 30458 33127 33760 40934 60916 66254 76145 81868 102335 121832 132508 152290 163736 165635 204670 243664 265016 304580 327472 331270 409340 487328 530032 609160 654944 662540 818680 1060064 1218320 1325080 1637360 2436640 2650160 3213319 3274720 5300320 6426638 12853276 16066595 25706552 32133190 51413104 64266380 102826208 128532760 257065520 514131040