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2064432240 = 2432513220559
BaseRepresentation
bin111101100001100…
…1011110001110000
312022212121000122100
41323003023301300
513211443312430
6540503540400
7102105245613
oct17303136160
95285530570
102064432240
1196a355552
1249745a700
1326b916850
1415826c17a
15c138d960
hex7b0cbc70

2064432240 has 120 divisors (see below), whose sum is σ = 7466397120. Its totient is φ = 508165632.

The previous prime is 2064432199. The next prime is 2064432241. The reversal of 2064432240 is 422344602.

2064432240 is a `hidden beast` number, since 206 + 4 + 432 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064432241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100920 + ... + 119639.

It is an arithmetic number, because the mean of its divisors is an integer number (62219976).

Almost surely, 22064432240 is an apocalyptic number.

2064432240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064432240 is an abundant number, since it is smaller than the sum of its proper divisors (5401964880).

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

2064432240 is a wasteful number, since it uses less digits than its factorization.

2064432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220591 (or 220582 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2064432240 is about 45436.0235936201. The cubic root of 2064432240 is about 1273.3082244865.

Adding to 2064432240 its reverse (422344602), we get a palindrome (2486776842).

The spelling of 2064432240 in words is "two billion, sixty-four million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 220559 441118 661677 882236 1102795 1323354 1764472 1985031 2205590 2646708 2867267 3308385 3528944 3970062 4411180 5293416 5734534 6616770 7940124 8601801 8822360 9925155 10586832 11469068 13233540 14336335 15880248 17203602 17644720 19850310 22938136 25805403 26467080 28672670 31760496 34407204 39700620 43009005 45876272 51610806 52934160 57345340 68814408 79401240 86018010 103221612 114690680 129027015 137628816 158802480 172036020 206443224 229381360 258054030 344072040 412886448 516108060 688144080 1032216120 2064432240