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1890732384 = 253217419419
BaseRepresentation
bin111000010110010…
…0100100101100000
311212202202011020100
41300230210211200
512333011414014
6511340542400
764565650212
oct16054444540
94782664210
101890732384
118902a6252
12449251a00
1324193a478
1413d1745b2
15b0ecc009
hex70b24960

1890732384 has 144 divisors (see below), whose sum is σ = 5832524880. Its totient is φ = 578641920.

The previous prime is 1890732379. The next prime is 1890732391. The reversal of 1890732384 is 4832370981.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196027 + ... + 205445.

It is an arithmetic number, because the mean of its divisors is an integer number (40503645).

Almost surely, 21890732384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1890732384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916262440).

1890732384 is an abundant number, since it is smaller than the sum of its proper divisors (3941792496).

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

1890732384 is a wasteful number, since it uses less digits than its factorization.

1890732384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1890732384 is about 43482.5526389608. The cubic root of 1890732384 is about 1236.5452710865.

The spelling of 1890732384 in words is "one billion, eight hundred ninety million, seven hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 41 48 51 68 72 82 96 102 123 136 144 153 164 204 246 272 288 306 328 369 408 492 544 612 656 697 738 816 984 1224 1312 1394 1476 1632 1968 2091 2448 2788 2952 3936 4182 4896 5576 5904 6273 8364 9419 11152 11808 12546 16728 18838 22304 25092 28257 33456 37676 50184 56514 66912 75352 84771 100368 113028 150704 160123 169542 200736 226056 301408 320246 339084 386179 452112 480369 640492 678168 772358 904224 960738 1158537 1280984 1356336 1441107 1544716 1921476 2317074 2561968 2712672 2882214 3089432 3475611 3842952 4634148 5123936 5764428 6178864 6565043 6951222 7685904 9268296 11528856 12357728 13130086 13902444 15371808 18536592 19695129 23057712 26260172 27804888 37073184 39390258 46115424 52520344 55609776 59085387 78780516 105040688 111219552 118170774 157561032 210081376 236341548 315122064 472683096 630244128 945366192 1890732384