Search a number
-
+
1098413568 = 2933711351
BaseRepresentation
bin100000101111000…
…0111011000000000
32211112212012011000
41001132013120000
54222143213233
6300554452000
736135234630
oct10136073000
92745765130
101098413568
1151403140a
12267a34000
13146746875
14a5c486c0
1566670d13
hex41787600

1098413568 has 160 divisors (see below), whose sum is σ = 3716190720. Its totient is φ = 313804800.

The previous prime is 1098413531. The next prime is 1098413573. The reversal of 1098413568 is 8653148901.

1098413568 is a `hidden beast` number, since 1 + 0 + 9 + 84 + 1 + 3 + 568 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91093 + ... + 102443.

It is an arithmetic number, because the mean of its divisors is an integer number (23226192).

Almost surely, 21098413568 is an apocalyptic number.

1098413568 is a gapful number since it is divisible by the number (18) 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 1098413568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858095360).

1098413568 is an abundant number, since it is smaller than the sum of its proper divisors (2617777152).

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

1098413568 is an equidigital number, since it uses as much as digits as its factorization.

1098413568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385 (or 11363 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1098413568 is about 33142.3229119505. The cubic root of 1098413568 is about 1031.7836214822.

The spelling of 1098413568 in words is "one billion, ninety-eight million, four hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 11351 12096 13824 16128 22702 24192 32256 34053 45404 48384 68106 79457 90808 96768 102159 136212 158914 181616 204318 238371 272424 306477 317828 363232 408636 476742 544848 612954 635656 715113 726464 817272 953484 1089696 1225908 1271312 1430226 1452928 1634544 1906968 2145339 2179392 2451816 2542624 2860452 2905856 3269088 3813936 4290678 4358784 4903632 5085248 5720904 5811712 6538176 7627872 8581356 8717568 9807264 10170496 11441808 13076352 15255744 17162712 17435136 19614528 20340992 22883616 26152704 30511488 34325424 39229056 40681984 45767232 52305408 61022976 68650848 78458112 91534464 122045952 137301696 156916224 183068928 274603392 366137856 549206784 1098413568