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4122064560 = 243541418909
BaseRepresentation
bin1111010110110001…
…1011011010110000
3101122021101120112210
43311230123122300
531420222031220
61521010052120
7204101653635
oct36554333260
911567346483
104122064560
111825886129
1297057a040
13508cbc273
142b164a18c
15191d376e0
hexf5b1b6b0

4122064560 has 80 divisors (see below), whose sum is σ = 13090099680. Its totient is φ = 1072404480.

The previous prime is 4122064523. The next prime is 4122064603. The reversal of 4122064560 is 654602214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 199615 + ... + 219294.

It is an arithmetic number, because the mean of its divisors is an integer number (163626246).

Almost surely, 24122064560 is an apocalyptic number.

4122064560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122064560 is an abundant number, since it is smaller than the sum of its proper divisors (8968035120).

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

4122064560 is a wasteful number, since it uses less digits than its factorization.

4122064560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418966 (or 418960 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4122064560 is about 64203.3064569108. The cubic root of 4122064560 is about 1603.3866494873.

Adding to 4122064560 its reverse (654602214), we get a palindrome (4776666774).

The spelling of 4122064560 in words is "four billion, one hundred twenty-two million, sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 418909 837818 1256727 1675636 2094545 2513454 3351272 4189090 5026908 6283635 6702544 8378180 10053816 12567270 16756360 17175269 20107632 25134540 33512720 34350538 50269080 51525807 68701076 85876345 100538160 103051614 137402152 171752690 206103228 257629035 274804304 343505380 412206456 515258070 687010760 824412912 1030516140 1374021520 2061032280 4122064560