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1938696900 = 2235271038963
BaseRepresentation
bin111001110001110…
…0010101011000100
312000010000000011220
41303203202223010
512432301300100
6520213000340
766020436360
oct16343425304
95003000156
101938696900
11905386748
124613230b0
1324b86223a
1414569c2a0
15b5303aa0
hex738e2ac4

1938696900 has 144 divisors (see below), whose sum is σ = 6473585664. Its totient is φ = 438779520.

The previous prime is 1938696889. The next prime is 1938696917. The reversal of 1938696900 is 96968391.

It is a super-2 number, since 2×19386969002 = 7517091340139220000, which contains 22 as substring.

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, 211819 + ... + 220781.

It is an arithmetic number, because the mean of its divisors is an integer number (44955456).

Almost surely, 21938696900 is an apocalyptic number.

1938696900 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 1938696900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236792832).

1938696900 is an abundant number, since it is smaller than the sum of its proper divisors (4534888764).

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

1938696900 is a wasteful number, since it uses less digits than its factorization.

1938696900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The square root of 1938696900 is about 44030.6359254554. The cubic root of 1938696900 is about 1246.9143948332.

The spelling of 1938696900 in words is "one billion, nine hundred thirty-eight million, six hundred ninety-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 103 105 140 150 175 206 210 300 309 350 412 420 515 525 618 700 721 1030 1050 1236 1442 1545 2060 2100 2163 2575 2884 3090 3605 4326 5150 6180 7210 7725 8652 8963 10300 10815 14420 15450 17926 18025 21630 26889 30900 35852 36050 43260 44815 53778 54075 62741 72100 89630 107556 108150 125482 134445 179260 188223 216300 224075 250964 268890 313705 376446 448150 537780 627410 672225 752892 896300 923189 941115 1254820 1344450 1568525 1846378 1882230 2688900 2769567 3137050 3692756 3764460 4615945 4705575 5539134 6274100 6462323 9231890 9411150 11078268 12924646 13847835 18463780 18822300 19386969 23079725 25849292 27695670 32311615 38773938 46159450 55391340 64623230 69239175 77547876 92318900 96934845 129246460 138478350 161558075 193869690 276956700 323116150 387739380 484674225 646232300 969348450 1938696900