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1906591056 = 2433779107127
BaseRepresentation
bin111000110100100…
…0100010101010000
311220212120212020120
41301221010111100
512401041403211
6513104510240
765150520336
oct16151042520
94825525216
101906591056
11899248097
1245261b380
132450008b6
14141301b56
15b25b0d06
hex71a44550

1906591056 has 160 divisors (see below), whose sum is σ = 5211095040. Its totient is φ = 600058368.

The previous prime is 1906591033. The next prime is 1906591067. The reversal of 1906591056 is 6501956091.

It is a junction number, because it is equal to n+sod(n) for n = 1906590999 and 1906591017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15012465 + ... + 15012591.

It is an arithmetic number, because the mean of its divisors is an integer number (32569344).

Almost surely, 21906591056 is an apocalyptic number.

1906591056 is a gapful number since it is divisible by the number (16) 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 1906591056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605547520).

1906591056 is an abundant number, since it is smaller than the sum of its proper divisors (3304503984).

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

1906591056 is a wasteful number, since it uses less digits than its factorization.

1906591056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 1906591056 is about 43664.5285786988. The cubic root of 1906591056 is about 1239.9928580928.

The spelling of 1906591056 in words is "one billion, nine hundred six million, five hundred ninety-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 79 107 111 127 148 158 214 222 237 254 296 316 321 381 428 444 474 508 592 632 642 762 856 888 948 1016 1264 1284 1524 1712 1776 1896 2032 2568 2923 3048 3792 3959 4699 5136 5846 6096 7918 8453 8769 9398 10033 11692 11877 13589 14097 15836 16906 17538 18796 20066 23384 23754 25359 27178 28194 30099 31672 33812 35076 37592 40132 40767 46768 47508 50718 54356 56388 60198 63344 67624 70152 75184 80264 81534 95016 101436 108712 112776 120396 135248 140304 160528 163068 190032 202872 217424 225552 240792 312761 326136 371221 405744 481584 502793 625522 652272 742442 938283 1005586 1073531 1113663 1251044 1484884 1508379 1876566 2011172 2147062 2227326 2502088 2969768 3016758 3220593 3753132 4022344 4294124 4454652 5004176 5939536 6033516 6441186 7506264 8044688 8588248 8909304 12067032 12882372 15012528 17176496 17818608 24134064 25764744 39720647 51529488 79441294 119161941 158882588 238323882 317765176 476647764 635530352 953295528 1906591056