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8021208090 = 2357174335189
BaseRepresentation
bin1110111100001100…
…11110110000011010
3202201000022120221010
413132012132300122
5112411412124330
63403534154350
7402526100220
oct73606366032
922630276833
108021208090
1134468433a5
12167a3529b6
139aaa5a39c
14561428b10
1531e2d93b0
hex1de19ec1a

8021208090 has 128 divisors (see below), whose sum is σ = 23353505280. Its totient is φ = 1721253888.

The previous prime is 8021208079. The next prime is 8021208137. The reversal of 8021208090 is 908021208.

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 63 ways as a sum of consecutive naturals, for example, 1543216 + ... + 1548404.

It is an arithmetic number, because the mean of its divisors is an integer number (182449260).

Almost surely, 28021208090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8021208090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676752640).

8021208090 is an abundant number, since it is smaller than the sum of its proper divisors (15332297190).

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

8021208090 is a wasteful number, since it uses less digits than its factorization.

8021208090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5656.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8021208090 is about 89561.1974573811. The cubic root of 8021208090 is about 2001.7657813826.

Adding to 8021208090 its reverse (908021208), we get a palindrome (8929229298).

The spelling of 8021208090 in words is "eight billion, twenty-one million, two hundred eight thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 433 510 595 714 866 1190 1299 1785 2165 2598 3031 3570 4330 5189 6062 6495 7361 9093 10378 12990 14722 15155 15567 18186 22083 25945 30310 31134 36323 36805 44166 45465 51527 51890 72646 73610 77835 88213 90930 103054 108969 110415 154581 155670 176426 181615 217938 220830 257635 264639 309162 363230 441065 515270 529278 544845 617491 772905 882130 1089690 1234982 1323195 1545810 1852473 2246837 2646390 3087455 3704946 4493674 6174910 6740511 9262365 11234185 13481022 15727859 18524730 22468370 31455718 33702555 38196229 47183577 67405110 76392458 78639295 94367154 114588687 157278590 190981145 229177374 235917885 267373603 381962290 471835770 534747206 572943435 802120809 1145886870 1336868015 1604241618 2673736030 4010604045 8021208090