Search a number
-
+
511140040 = 235234711821
BaseRepresentation
bin11110011101110…
…110000011001000
31022121210121022121
4132131312003020
52021322440130
6122415301024
715444422125
oct3635660310
91277717277
10511140040
11242586094
1212321a774
1381b85838
144bc5574c
152ed18d7a
hex1e7760c8

511140040 has 64 divisors (see below), whose sum is σ = 1225704960. Its totient is φ = 191389440.

The previous prime is 511140023. The next prime is 511140043. The reversal of 511140040 is 40041115.

It is a super-2 number, since 2×5111400402 = 522528280982403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511139996 and 511140023.

It is not an unprimeable number, because it can be changed into a prime (511140043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37330 + ... + 49150.

It is an arithmetic number, because the mean of its divisors is an integer number (19151640).

Almost surely, 2511140040 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 511140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612852480).

511140040 is an abundant number, since it is smaller than the sum of its proper divisors (714564920).

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

511140040 is a wasteful number, since it uses less digits than its factorization.

511140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11902 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 511140040 is about 22608.4064011597. The cubic root of 511140040 is about 799.5518531691.

Adding to 511140040 its reverse (40041115), we get a palindrome (551181155).

The spelling of 511140040 in words is "five hundred eleven million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 92 94 115 184 188 230 235 376 460 470 920 940 1081 1880 2162 4324 5405 8648 10810 11821 21620 23642 43240 47284 59105 94568 118210 236420 271883 472840 543766 555587 1087532 1111174 1359415 2175064 2222348 2718830 2777935 4444696 5437660 5555870 10875320 11111740 12778501 22223480 25557002 51114004 63892505 102228008 127785010 255570020 511140040