Search a number
-
+
540115212 = 223713238047
BaseRepresentation
bin100000001100011…
…000000100001100
31101122022200210010
4200030120010030
52101232141322
6125332313220
716245621630
oct4014300414
91348280703
10540115212
1125797660a
12130a72810
1387b8c200
1451a38dc0
153263e20c
hex2031810c

540115212 has 72 divisors (see below), whose sum is σ = 1559663616. Its totient is φ = 142444224.

The previous prime is 540115171. The next prime is 540115249. The reversal of 540115212 is 212511045.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4828 + ... + 33219.

Almost surely, 2540115212 is an apocalyptic number.

540115212 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540115212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779831808).

540115212 is an abundant number, since it is smaller than the sum of its proper divisors (1019548404).

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

540115212 is a wasteful number, since it uses less digits than its factorization.

540115212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38087 (or 38072 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 540115212 is about 23240.3789125737. The cubic root of 540115212 is about 814.3831944681.

Adding to 540115212 its reverse (212511045), we get a palindrome (752626257).

The spelling of 540115212 in words is "five hundred forty million, one hundred fifteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 14196 38047 76094 114141 152188 228282 266329 456564 494611 532658 798987 989222 1065316 1483833 1597974 1978444 2967666 3195948 3462277 5935332 6429943 6924554 10386831 12859886 13849108 19289829 20773662 25719772 38579658 41547324 45009601 77159316 90019202 135028803 180038404 270057606 540115212