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1890749900 = 22521361113211
BaseRepresentation
bin111000010110010…
…1000110111001100
311212202210001021002
41300230220313030
512333012444100
6511341155432
764566052244
oct16054506714
94782701232
101890749900
11890308426
1244925bb78
13241945430
1413d17ab24
15b0ed22d5
hex70b28dcc

1890749900 has 144 divisors (see below), whose sum is σ = 4552187808. Its totient is φ = 677376000.

The previous prime is 1890749873. The next prime is 1890749933. The reversal of 1890749900 is 99470981.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8960795 + ... + 8961005.

Almost surely, 21890749900 is an apocalyptic number.

1890749900 is a gapful number since it is divisible by the number (10) 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 1890749900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276093904).

1890749900 is an abundant number, since it is smaller than the sum of its proper divisors (2661437908).

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

1890749900 is a wasteful number, since it uses less digits than its factorization.

1890749900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 47.

The square root of 1890749900 is about 43482.7540526126. The cubic root of 1890749900 is about 1236.5490895821.

The spelling of 1890749900 in words is "one billion, eight hundred ninety million, seven hundred forty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 100 113 122 130 211 226 244 260 305 325 422 452 565 610 650 793 844 1055 1130 1220 1300 1469 1525 1586 2110 2260 2743 2825 2938 3050 3172 3965 4220 5275 5486 5650 5876 6100 6893 7345 7930 10550 10972 11300 12871 13715 13786 14690 15860 19825 21100 23843 25742 27430 27572 29380 34465 36725 39650 47686 51484 54860 64355 68575 68930 73450 79300 89609 95372 119215 128710 137150 137860 146900 167323 172325 179218 238430 257420 274300 309959 321775 334646 344650 358436 448045 476860 596075 619918 643550 669292 689300 836615 896090 1192150 1239836 1287100 1454423 1549795 1673230 1792180 2240225 2384300 2908846 3099590 3346460 4183075 4480450 5817692 6199180 7272115 7748975 8366150 8960900 14544230 15497950 16732300 18907499 29088460 30995900 36360575 37814998 72721150 75629996 94537495 145442300 189074990 378149980 472687475 945374950 1890749900