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2103345792 = 273622541
BaseRepresentation
bin111110101011110…
…1000001010000000
312102120211001000000
41331113220022000
513301424031132
6544414000000
7103060100322
oct17527501200
95376731000
102103345792
1198a313909
124a84a6000
132769bca12
1415d4bb612
15c49c887c
hex7d5e8280

2103345792 has 112 divisors (see below), whose sum is σ = 6282793530. Its totient is φ = 701084160.

The previous prime is 2103345787. The next prime is 2103345851. The reversal of 2103345792 is 2975433012.

It can be written as a sum of positive squares in only one way, i.e., 1528497216 + 574848576 = 39096^2 + 23976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 82042 + ... + 104582.

Almost surely, 22103345792 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 2103345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141396765).

2103345792 is an abundant number, since it is smaller than the sum of its proper divisors (4179447738).

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

2103345792 is an frugal number, since it uses more digits than its factorization.

2103345792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22573 (or 22546 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2103345792 is about 45862.2480042137. The cubic root of 2103345792 is about 1281.2588916710.

The spelling of 2103345792 in words is "two billion, one hundred three million, three hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 22541 23328 31104 45082 46656 67623 90164 93312 135246 180328 202869 270492 360656 405738 540984 608607 721312 811476 1081968 1217214 1442624 1622952 1825821 2163936 2434428 2885248 3245904 3651642 4327872 4868856 5477463 6491808 7303284 8655744 9737712 10954926 12983616 14606568 16432389 19475424 21909852 25967232 29213136 32864778 38950848 43819704 58426272 65729556 77901696 87639408 116852544 131459112 175278816 233705088 262918224 350557632 525836448 701115264 1051672896 2103345792