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4666011240 = 23351110334319
BaseRepresentation
bin1000101100001110…
…11010111001101000
3110001011220221010010
410112013122321220
534023444324430
62051000451520
7223425304212
oct42607327150
913034827103
104666011240
111a84929340
12aa2779ba0
135948c03c7
143239a15b2
151c4981cb0
hex1161dae68

4666011240 has 128 divisors (see below), whose sum is σ = 15419289600. Its totient is φ = 1120139520.

The previous prime is 4666011239. The next prime is 4666011247. The reversal of 4666011240 is 421106664.

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

It is a junction number, because it is equal to n+sod(n) for n = 4666011198 and 4666011207.

It is not an unprimeable number, because it can be changed into a prime (4666011247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118801 + ... + 153119.

It is an arithmetic number, because the mean of its divisors is an integer number (120463200).

Almost surely, 24666011240 is an apocalyptic number.

4666011240 is a gapful number since it is divisible by the number (40) 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 4666011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709644800).

4666011240 is an abundant number, since it is smaller than the sum of its proper divisors (10753278360).

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

4666011240 is a wasteful number, since it uses less digits than its factorization.

4666011240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34447 (or 34443 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4666011240 is about 68308.2077059558. The cubic root of 4666011240 is about 1671.0210734883.

The spelling of 4666011240 in words is "four billion, six hundred sixty-six million, eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 103 110 120 132 165 206 220 264 309 330 412 440 515 618 660 824 1030 1133 1236 1320 1545 2060 2266 2472 3090 3399 4120 4532 5665 6180 6798 9064 11330 12360 13596 16995 22660 27192 33990 34319 45320 67980 68638 102957 135960 137276 171595 205914 274552 343190 377509 411828 514785 686380 755018 823656 1029570 1132527 1372760 1510036 1887545 2059140 2265054 3020072 3534857 3775090 4118280 4530108 5662635 7069714 7550180 9060216 10604571 11325270 14139428 15100360 17674285 21209142 22650540 28278856 35348570 38883427 42418284 45301080 53022855 70697140 77766854 84836568 106045710 116650281 141394280 155533708 194417135 212091420 233300562 311067416 388834270 424182840 466601124 583251405 777668540 933202248 1166502810 1555337080 2333005620 4666011240