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540402126 = 231189197467
BaseRepresentation
bin100000001101011…
…110000111001110
31101122212021100120
4200031132013032
52101320332001
6125342405410
716251225255
oct4015360716
91348767316
10540402126
11258052130
12130b90866
1387c5c994
1451ab179c
1532699236
hex2035e1ce

540402126 has 64 divisors (see below), whose sum is σ = 1200925440. Its totient is φ = 160751360.

The previous prime is 540402097. The next prime is 540402133. The reversal of 540402126 is 621204045.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 540402096 and 540402105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156945 + ... + 1157411.

It is an arithmetic number, because the mean of its divisors is an integer number (18764460).

Almost surely, 2540402126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540402126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600462720).

540402126 is an abundant number, since it is smaller than the sum of its proper divisors (660523314).

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

540402126 is a wasteful number, since it uses less digits than its factorization.

540402126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 540402126 is about 23246.5508409312. The cubic root of 540402126 is about 814.5273714715.

The spelling of 540402126 in words is "five hundred forty million, four hundred two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 89 178 197 267 394 467 534 591 934 979 1182 1401 1958 2167 2802 2937 4334 5137 5874 6501 10274 13002 15411 17533 30822 35066 41563 52599 83126 91999 105198 124689 183998 192863 249378 275997 385726 457193 551994 578589 914386 1011989 1157178 1371579 2023978 2743158 3035967 6071934 8187911 16375822 24563733 49127466 90067021 180134042 270201063 540402126