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2100019392 = 26339371297
BaseRepresentation
bin111110100101011…
…1100000011000000
312102100120001001000
41331022330003000
513300101110032
6544214412000
7103016604342
oct17512740300
95370501030
102100019392
11988451719
124a7361000
132760c6933
1415cc93292
15c456ce7c
hex7d2bc0c0

2100019392 has 112 divisors (see below), whose sum is σ = 6185021920. Its totient is φ = 698720256.

The previous prime is 2100019387. The next prime is 2100019429. The reversal of 2100019392 is 2939100012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1618488 + ... + 1619784.

It is an arithmetic number, because the mean of its divisors is an integer number (55223410).

Almost surely, 22100019392 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 2100019392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092510960).

2100019392 is an abundant number, since it is smaller than the sum of its proper divisors (4085002528).

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

2100019392 is a wasteful number, since it uses less digits than its factorization.

2100019392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2100019392 is about 45825.9685331363. The cubic root of 2100019392 is about 1280.5831067200.

The spelling of 2100019392 in words is "two billion, one hundred million, nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 937 1297 1728 1874 2594 2811 3748 3891 5188 5622 7496 7782 8433 10376 11244 11673 14992 15564 16866 20752 22488 23346 25299 29984 31128 33732 35019 41504 44976 46692 50598 59968 62256 67464 70038 83008 89952 93384 101196 124512 134928 140076 179904 186768 202392 249024 269856 280152 373536 404784 539712 560304 747072 809568 1120608 1215289 1619136 2241216 2430578 3645867 4861156 7291734 9722312 10937601 14583468 19444624 21875202 29166936 32812803 38889248 43750404 58333872 65625606 77778496 87500808 116667744 131251212 175001616 233335488 262502424 350003232 525004848 700006464 1050009696 2100019392