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2090307072 = 2937227773
BaseRepresentation
bin111110010010111…
…1000111000000000
312101200021121020110
41330211320320000
513240104311242
6543230311320
7102541213500
oct17445707000
95350247213
102090307072
11982a18707
124a4058540
132740a5cb9
1415b885a00
15c37a039c
hex7c978e00

2090307072 has 120 divisors (see below), whose sum is σ = 6478118856. Its totient is φ = 597209088.

The previous prime is 2090307053. The next prime is 2090307073. The reversal of 2090307072 is 2707030902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090307073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61378 + ... + 89150.

Almost surely, 22090307072 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 2090307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239059428).

2090307072 is an abundant number, since it is smaller than the sum of its proper divisors (4387811784).

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

2090307072 is an equidigital number, since it uses as much as digits as its factorization.

2090307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27808 (or 27785 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 2090307072 is about 45719.8761153177. The cubic root of 2090307072 is about 1278.6058779657.

Adding to 2090307072 its reverse (2707030902), we get a palindrome (4797337974).

The spelling of 2090307072 in words is "two billion, ninety million, three hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2688 3136 3584 4704 5376 6272 9408 10752 12544 18816 25088 27773 37632 55546 75264 83319 111092 166638 194411 222184 333276 388822 444368 583233 666552 777644 888736 1166466 1333104 1360877 1555288 1777472 2332932 2666208 2721754 3110576 3554944 4082631 4665864 5332416 5443508 6221152 7109888 8165262 9331728 10664832 10887016 12442304 14219776 16330524 18663456 21329664 21774032 24884608 32661048 37326912 42659328 43548064 49769216 65322096 74653824 87096128 99538432 130644192 149307648 174192256 261288384 298615296 348384512 522576768 696769024 1045153536 2090307072