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540421336 = 237137310169
BaseRepresentation
bin100000001101100…
…010110011011000
31101122220020201001
4200031202303120
52101321440321
6125343034344
716251335260
oct4015426330
91348806631
10540421336
11258065604
12130b9b9b4
1387c68650
1451ab87a0
153269ec91
hex20362cd8

540421336 has 64 divisors (see below), whose sum is σ = 1264334400. Its totient is φ = 210843648.

The previous prime is 540421319. The next prime is 540421367. The reversal of 540421336 is 633124045.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48060 + ... + 58228.

It is an arithmetic number, because the mean of its divisors is an integer number (19755225).

Almost surely, 2540421336 is an apocalyptic number.

540421336 is a gapful number since it is divisible by the number (56) 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 540421336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632167200).

540421336 is an abundant number, since it is smaller than the sum of its proper divisors (723913064).

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

540421336 is a wasteful number, since it uses less digits than its factorization.

540421336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10268 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 540421336 is about 23246.9640168345. The cubic root of 540421336 is about 814.5370228556.

The spelling of 540421336 in words is "five hundred forty million, four hundred twenty-one thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 73 91 104 146 182 292 364 511 584 728 949 1022 1898 2044 3796 4088 6643 7592 10169 13286 20338 26572 40676 53144 71183 81352 132197 142366 264394 284732 528788 569464 742337 925379 1057576 1484674 1850758 2969348 3701516 5196359 5938696 7403032 9650381 10392718 19300762 20785436 38601524 41570872 67552667 77203048 135105334 270210668 540421336