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540404232 = 2331910191163
BaseRepresentation
bin100000001101011…
…110101000001000
31101122212101020120
4200031132220020
52101320413412
6125342423240
716251234354
oct4015365010
91348771216
10540404232
11258053775
12130b91b20
1387c60924
1451ab2464
1532699b8c
hex2035ea08

540404232 has 64 divisors (see below), whose sum is σ = 1424736000. Its totient is φ = 170339904.

The previous prime is 540404141. The next prime is 540404243. The reversal of 540404232 is 232404045.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464083 + ... + 465245.

It is an arithmetic number, because the mean of its divisors is an integer number (22261500).

Almost surely, 2540404232 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 540404232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712368000).

540404232 is an abundant number, since it is smaller than the sum of its proper divisors (884331768).

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

540404232 is a wasteful number, since it uses less digits than its factorization.

540404232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 540404232 is about 23246.5961379295. The cubic root of 540404232 is about 814.5284295678.

Adding to 540404232 its reverse (232404045), we get a palindrome (772808277).

The spelling of 540404232 in words is "five hundred forty million, four hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1019 1163 2038 2326 3057 3489 4076 4652 6114 6978 8152 9304 12228 13956 19361 22097 24456 27912 38722 44194 58083 66291 77444 88388 116166 132582 154888 176776 232332 265164 464664 530328 1185097 2370194 3555291 4740388 7110582 9480776 14221164 22516843 28442328 45033686 67550529 90067372 135101058 180134744 270202116 540404232