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4012020640 = 255232107443
BaseRepresentation
bin1110111100100010…
…1001001110100000
3101100121022202200001
43233020221032200
531204034130030
61502035305344
7201264420115
oct35710511640
911317282601
104012020640
111779754541
1293b74b254
134bc26cc14
142a0ba290c
1518734bcca
hexef2293a0

4012020640 has 144 divisors (see below), whose sum is σ = 10023598368. Its totient is φ = 1517255168.

The previous prime is 4012020629. The next prime is 4012020653. The reversal of 4012020640 is 460202104.

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, 9056259 + ... + 9056701.

It is an arithmetic number, because the mean of its divisors is an integer number (69608322).

Almost surely, 24012020640 is an apocalyptic number.

4012020640 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 4012020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011799184).

4012020640 is an abundant number, since it is smaller than the sum of its proper divisors (6011577728).

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

4012020640 is a wasteful number, since it uses less digits than its factorization.

4012020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4012020640 is about 63340.5134175592. The cubic root of 4012020640 is about 1588.9895931376.

Adding to 4012020640 its reverse (460202104), we get a palindrome (4472222744).

The spelling of 4012020640 in words is "four billion, twelve million, twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 107 115 160 184 214 230 368 428 443 460 529 535 736 856 886 920 1058 1070 1712 1772 1840 2116 2140 2215 2461 2645 3424 3544 3680 4232 4280 4430 4922 5290 7088 8464 8560 8860 9844 10189 10580 12305 14176 16928 17120 17720 19688 20378 21160 24610 35440 39376 40756 42320 47401 49220 50945 56603 70880 78752 81512 84640 94802 98440 101890 113206 163024 189604 196880 203780 226412 234347 237005 283015 326048 379208 393760 407560 452824 468694 474010 566030 758416 815120 905648 937388 948020 1090223 1132060 1171735 1516832 1630240 1811296 1874776 1896040 2180446 2264120 2343470 3749552 3792080 4360892 4528240 4686940 5451115 7499104 7584160 8721784 9056480 9373880 10902230 17443568 18747760 21804460 25075129 34887136 37495520 43608920 50150258 87217840 100300516 125375645 174435680 200601032 250751290 401202064 501502580 802404128 1003005160 2006010320 4012020640