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2102780304 = 243371179383
BaseRepresentation
bin111110101010101…
…1110000110010000
312102112202022022000
41331111132012100
513301302432204
6544353514000
7103052223552
oct17525360620
95375668260
102102780304
11989a67a69
124a8272900
13276852501
1415d3b14d2
15c4916039
hex7d55e190

2102780304 has 160 divisors (see below), whose sum is σ = 6171033600. Its totient is φ = 685399680.

The previous prime is 2102780261. The next prime is 2102780321. The reversal of 2102780304 is 4030872012.

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 31 ways as a sum of consecutive naturals, for example, 5490097 + ... + 5490479.

It is an arithmetic number, because the mean of its divisors is an integer number (38568960).

Almost surely, 22102780304 is an apocalyptic number.

2102780304 is a gapful number since it is divisible by the number (24) 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 2102780304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085516800).

2102780304 is an abundant number, since it is smaller than the sum of its proper divisors (4068253296).

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

2102780304 is a wasteful number, since it uses less digits than its factorization.

2102780304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2102780304 is about 45856.0825191163. The cubic root of 2102780304 is about 1281.1440585209.

The spelling of 2102780304 in words is "two billion, one hundred two million, seven hundred eighty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 179 213 216 284 358 383 426 432 537 568 639 716 766 852 1074 1136 1149 1278 1432 1532 1611 1704 1917 2148 2298 2556 2864 3064 3222 3408 3447 3834 4296 4596 4833 5112 6128 6444 6894 7668 8592 9192 9666 10224 10341 12709 12888 13788 15336 18384 19332 20682 25418 25776 27193 27576 30672 38127 38664 41364 50836 54386 55152 68557 76254 77328 81579 82728 101672 108772 114381 137114 152508 163158 165456 203344 205671 217544 228762 244737 274228 305016 326316 343143 411342 435088 457524 489474 548456 610032 617013 652632 686286 734211 822684 915048 978948 1096912 1234026 1305264 1372572 1468422 1645368 1830096 1851039 1957896 2468052 2745144 2936844 3290736 3702078 3915792 4867547 4936104 5490288 5873688 7404156 9735094 9872208 11747376 14602641 14808312 19470188 29205282 29616624 38940376 43807923 58410564 77880752 87615846 116821128 131423769 175231692 233642256 262847538 350463384 525695076 700926768 1051390152 2102780304