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3920246064 = 2432717921727
BaseRepresentation
bin1110100110101010…
…0011010100110000
3101010012122010121200
43221222203110300
531012040333224
61445000251200
7166101353550
oct35152432460
911105563550
103920246064
111731970989
12914a70b00
134a6249337
14292913160
1517e26e5c9
hexe9aa3530

3920246064 has 120 divisors (see below), whose sum is σ = 12609192960. Its totient is φ = 1113761664.

The previous prime is 3920246027. The next prime is 3920246137. The reversal of 3920246064 is 4606420293.

3920246064 is a `hidden beast` number, since 3 + 9 + 20 + 24 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169569 + ... + 191295.

It is an arithmetic number, because the mean of its divisors is an integer number (105076608).

Almost surely, 23920246064 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 3920246064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304596480).

3920246064 is an abundant number, since it is smaller than the sum of its proper divisors (8688946896).

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

3920246064 is a wasteful number, since it uses less digits than its factorization.

3920246064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21927 (or 21918 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3920246064 is about 62611.8683956964. The cubic root of 3920246064 is about 1576.7800234853.

The spelling of 3920246064 in words is "three billion, nine hundred twenty million, two hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 179 252 336 358 504 537 716 1008 1074 1253 1432 1611 2148 2506 2864 3222 3759 4296 5012 6444 7518 8592 10024 11277 12888 15036 20048 21727 22554 25776 30072 43454 45108 60144 65181 86908 90216 130362 152089 173816 180432 195543 260724 304178 347632 391086 456267 521448 608356 782172 912534 1042896 1216712 1368801 1564344 1825068 2433424 2737602 3128688 3650136 3889133 5475204 7300272 7778266 10950408 11667399 15556532 21900816 23334798 27223931 31113064 35002197 46669596 54447862 62226128 70004394 81671793 93339192 108895724 140008788 163343586 186678384 217791448 245015379 280017576 326687172 435582896 490030758 560035152 653374344 980061516 1306748688 1960123032 3920246064