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3820300686 = 23531435897
BaseRepresentation
bin1110001110110101…
…0010100110001110
3100212020120101100000
43203231102212032
530310444110221
61431030145130
7163446006606
oct34355224616
910766511300
103820300686
1116905074a4
128a74b21a6
1348b624667
14283537c06
151755cae26
hexe3b5298e

3820300686 has 96 divisors (see below), whose sum is σ = 9068387328. Its totient is φ = 1203491520.

The previous prime is 3820300663. The next prime is 3820300697. The reversal of 3820300686 is 6860030283.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3820300686.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644890 + ... + 650786.

It is an arithmetic number, because the mean of its divisors is an integer number (94462368).

Almost surely, 23820300686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820300686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534193664).

3820300686 is an abundant number, since it is smaller than the sum of its proper divisors (5248086642).

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

3820300686 is a wasteful number, since it uses less digits than its factorization.

3820300686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3820300686 is about 61808.5810062001. The cubic root of 3820300686 is about 1563.2646793707.

The spelling of 3820300686 in words is "three billion, eight hundred twenty million, three hundred thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 31 43 54 62 81 86 93 129 162 186 243 258 279 387 486 558 774 837 1161 1333 1674 2322 2511 2666 3483 3999 5022 5897 6966 7533 7998 10449 11794 11997 15066 17691 20898 23994 35382 35991 53073 71982 106146 107973 159219 182807 215946 253571 318438 323919 365614 477657 507142 548421 647838 760713 955314 1096842 1432971 1521426 1645263 2282139 2865942 3290526 4564278 4935789 6846417 7860701 9871578 13692834 14807367 15721402 20539251 23582103 29614734 41078502 44422101 47164206 61617753 70746309 88844202 123235506 141492618 212238927 424477854 636716781 1273433562 1910150343 3820300686