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8230483840 = 275196171097
BaseRepresentation
bin1111010101001001…
…10011011110000000
3210020121002220021211
413222210303132000
5113324000440330
63440411455504
7410646646465
oct75244633600
923217086254
108230483840
113543991367
121718457594
13a122116a7
1458114366c
15332876d2a
hex1ea933780

8230483840 has 128 divisors (see below), whose sum is σ = 20764058400. Its totient is φ = 3111026688.

The previous prime is 8230483831. The next prime is 8230483841. The reversal of 8230483840 is 483840328.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×82304838402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8230483793 and 8230483802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230483841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7502172 + ... + 7503268.

Almost surely, 28230483840 is an apocalyptic number.

8230483840 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 8230483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382029200).

8230483840 is an abundant number, since it is smaller than the sum of its proper divisors (12533574560).

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

8230483840 is a wasteful number, since it uses less digits than its factorization.

8230483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 8230483840 is about 90722.0140869899. The cubic root of 8230483840 is about 2019.0254293051.

The spelling of 8230483840 in words is "eight billion, two hundred thirty million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 617 640 760 1097 1216 1234 1520 2194 2432 2468 3040 3085 4388 4936 5485 6080 6170 8776 9872 10970 11723 12160 12340 17552 19744 20843 21940 23446 24680 35104 39488 41686 43880 46892 49360 58615 70208 78976 83372 87760 93784 98720 104215 117230 140416 166744 175520 187568 197440 208430 234460 333488 351040 375136 394880 416860 468920 666976 676849 702080 750272 833720 937840 1333952 1353698 1500544 1667440 1875680 2667904 2707396 3334880 3384245 3751360 5414792 6669760 6768490 7502720 10829584 12860131 13339520 13536980 21659168 25720262 27073960 43318336 51440524 54147920 64300655 86636672 102881048 108295840 128601310 205762096 216591680 257202620 411524192 433183360 514405240 823048384 1028810480 1646096768 2057620960 4115241920 8230483840