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8606020640 = 255757113457
BaseRepresentation
bin10000000001111010…
…10111010000100000
3211012202202010221012
420000331113100200
5120111120130030
63541544520052
7423156653120
oct100075272040
924182663835
108606020640
113716968758
121802180028
13a71c69209
145b8d7ac80
15355807095
hex200f57420

8606020640 has 96 divisors (see below), whose sum is σ = 23278679424. Its totient is φ = 2945249280.

The previous prime is 8606020637. The next prime is 8606020651. The reversal of 8606020640 is 460206068.

It is a happy number.

It is a super-2 number, since 2×86060206402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 8606020597 and 8606020606.

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, 632792 + ... + 646248.

It is an arithmetic number, because the mean of its divisors is an integer number (242486244).

Almost surely, 28606020640 is an apocalyptic number.

8606020640 is a gapful number since it is divisible by the number (80) 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 8606020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11639339712).

8606020640 is an abundant number, since it is smaller than the sum of its proper divisors (14672658784).

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

8606020640 is a wasteful number, since it uses less digits than its factorization.

8606020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14050 (or 14042 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 8606020640 is about 92768.6403910287. The cubic root of 8606020640 is about 2049.2776070585.

The spelling of 8606020640 in words is "eight billion, six hundred six million, twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 571 1120 1142 2284 2855 3997 4568 5710 7994 9136 11420 13457 15988 18272 19985 22840 26914 31976 39970 45680 53828 63952 67285 79940 91360 94199 107656 127904 134570 159880 188398 215312 269140 319760 376796 430624 470995 538280 639520 753592 941990 1076560 1507184 1883980 2153120 3014368 3767960 7535920 7683947 15071840 15367894 30735788 38419735 53787629 61471576 76839470 107575258 122943152 153678940 215150516 245886304 268938145 307357880 430301032 537876290 614715760 860602064 1075752580 1229431520 1721204128 2151505160 4303010320 8606020640