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540422454 = 23111333727
BaseRepresentation
bin100000001101100…
…011000100110110
31101122220022020110
4200031203010312
52101322004304
6125343043450
716251341445
oct4015430466
91348808213
10540422454
11258066430
12130ba0586
1387c69000
1451ab8d5c
15326a0289
hex20363136

540422454 has 64 divisors (see below), whose sum is σ = 1277660160. Its totient is φ = 151126560.

The previous prime is 540422423. The next prime is 540422461. The reversal of 540422454 is 454224045.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 143139 + ... + 146865.

It is an arithmetic number, because the mean of its divisors is an integer number (19963440).

Almost surely, 2540422454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540422454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638830080).

540422454 is an abundant number, since it is smaller than the sum of its proper divisors (737237706).

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

540422454 is a wasteful number, since it uses less digits than its factorization.

540422454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 540422454 is about 23246.9880629728. The cubic root of 540422454 is about 814.5375845481.

Adding to 540422454 its reverse (454224045), we get a palindrome (994646499).

The spelling of 540422454 in words is "five hundred forty million, four hundred twenty-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 2197 3718 3727 4394 5577 6591 7454 11154 11181 13182 22362 24167 40997 48334 48451 72501 81994 96902 122991 145002 145353 245982 290706 532961 629863 1065922 1259726 1598883 1889589 3197766 3779178 6928493 8188219 13856986 16376438 20785479 24564657 41570958 49129314 90070409 180140818 270211227 540422454