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540502512 = 243113773379
BaseRepresentation
bin100000001101110…
…110100111110000
31101200001101001120
4200031312213300
52101332040022
6125344502240
716252124034
oct4015664760
91350041046
10540502512
112581105a0
1213101a980
1387c96594
1451ada1c4
15326b8d5c
hex203769f0

540502512 has 160 divisors (see below), whose sum is σ = 1590017280. Its totient is φ = 156764160.

The previous prime is 540502511. The next prime is 540502513. The reversal of 540502512 is 215205045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540502511) and next prime (540502513).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540502511) 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, 1425939 + ... + 1426317.

It is an arithmetic number, because the mean of its divisors is an integer number (9937608).

Almost surely, 2540502512 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 540502512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795008640).

540502512 is an abundant number, since it is smaller than the sum of its proper divisors (1049514768).

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

540502512 is a wasteful number, since it uses less digits than its factorization.

540502512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 540502512 is about 23248.7098996912. The cubic root of 540502512 is about 814.5778043364.

Adding to 540502512 its reverse (215205045), we get a palindrome (755707557).

The spelling of 540502512 in words is "five hundred forty million, five hundred two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 73 74 88 111 132 146 148 176 219 222 264 292 296 379 407 438 444 528 584 592 758 803 814 876 888 1137 1168 1221 1516 1606 1628 1752 1776 2274 2409 2442 2701 3032 3212 3256 3504 4169 4548 4818 4884 5402 6064 6424 6512 8103 8338 9096 9636 9768 10804 12507 12848 14023 16206 16676 18192 19272 19536 21608 25014 27667 28046 29711 32412 33352 38544 42069 43216 50028 55334 56092 59422 64824 66704 83001 84138 89133 100056 110668 112184 118844 129648 154253 166002 168276 178266 200112 221336 224368 237688 304337 308506 332004 336552 356532 442672 462759 475376 608674 617012 664008 673104 713064 913011 925518 1023679 1217348 1234024 1328016 1426128 1826022 1851036 2047358 2434696 2468048 3071037 3652044 3702072 4094716 4869392 6142074 7304088 7404144 8189432 11260469 12284148 14608176 16378864 22520938 24568296 33781407 45041876 49136592 67562814 90083752 135125628 180167504 270251256 540502512