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2163104730 = 233537293739
BaseRepresentation
bin1000000011101110…
…0101101111011010
312120202021002212000
42000323211233122
513412223322410
6554350501430
7104414041533
oct20073455732
95522232760
102163104730
11a1001a666
12504504876
132861b4037
141673d568a
15c9d7edc0
hex80ee5bda

2163104730 has 128 divisors (see below), whose sum is σ = 5952441600. Its totient is φ = 558565632.

The previous prime is 2163104681. The next prime is 2163104731. The reversal of 2163104730 is 374013612.

2163104730 is a `hidden beast` number, since 21 + 631 + 0 + 4 + 7 + 3 + 0 = 666.

It is a super-3 number, since 3×21631047303 (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2163104694 and 2163104703.

It is not an unprimeable number, because it can be changed into a prime (2163104731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2926701 + ... + 2927439.

It is an arithmetic number, because the mean of its divisors is an integer number (46503450).

Almost surely, 22163104730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163104730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976220800).

2163104730 is an abundant number, since it is smaller than the sum of its proper divisors (3789336870).

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

2163104730 is a wasteful number, since it uses less digits than its factorization.

2163104730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2163104730 is about 46509.1897370831. The cubic root of 2163104730 is about 1293.2798636242.

The spelling of 2163104730 in words is "two billion, one hundred sixty-three million, one hundred four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 293 333 370 555 586 666 739 879 999 1110 1465 1478 1665 1758 1998 2217 2637 2930 3330 3695 4395 4434 4995 5274 6651 7390 7911 8790 9990 10841 11085 13185 13302 15822 19953 21682 22170 26370 27343 32523 33255 39555 39906 54205 54686 65046 66510 79110 82029 97569 99765 108410 136715 162615 164058 195138 199530 216527 246087 273430 292707 325230 410145 433054 487845 492174 585414 649581 738261 820290 975690 1082635 1230435 1299162 1463535 1476522 1948743 2165270 2460870 2927070 3247905 3691305 3897486 5846229 6495810 7382610 8011499 9743715 11692458 16022998 19487430 24034497 29231145 40057495 48068994 58462290 72103491 80114990 120172485 144206982 216310473 240344970 360517455 432620946 721034910 1081552365 2163104730