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1306891098 = 234192811511
BaseRepresentation
bin100110111100101…
…1001001101011010
310101002010221120000
41031321121031122
510134031003343
6333403113430
744246251062
oct11571311532
93332127500
101306891098
11610784697
12305812876
1317a9ab756
14c57d63a2
1579b01ed3
hex4de5935a

1306891098 has 80 divisors (see below), whose sum is σ = 3095547840. Its totient is φ = 410961600.

The previous prime is 1306891093. The next prime is 1306891109. The reversal of 1306891098 is 8901986031.

It is not an unprimeable number, because it can be changed into a prime (1306891093) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 864163 + ... + 865673.

It is an arithmetic number, because the mean of its divisors is an integer number (38694348).

Almost surely, 21306891098 is an apocalyptic number.

1306891098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306891098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547773920).

1306891098 is an abundant number, since it is smaller than the sum of its proper divisors (1788656742).

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

1306891098 is a wasteful number, since it uses less digits than its factorization.

1306891098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1306891098 is about 36150.9487842297. The cubic root of 1306891098 is about 1093.3179203120.

The spelling of 1306891098 in words is "one billion, three hundred six million, eight hundred ninety-one thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 281 342 513 562 843 1026 1511 1539 1686 2529 3022 3078 4533 5058 5339 7587 9066 10678 13599 15174 16017 22761 27198 28709 32034 40797 45522 48051 57418 81594 86127 96102 122391 144153 172254 244782 258381 288306 424591 432459 516762 775143 849182 864918 1273773 1550286 2325429 2547546 3821319 4650858 7642638 8067229 11463957 16134458 22927914 24201687 34391871 48403374 68783742 72605061 145210122 217815183 435630366 653445549 1306891098