Search a number
-
+
1113357630 = 2357111925367
BaseRepresentation
bin100001001011100…
…0111110100111110
32212120222102112210
41002113013310332
54240004421010
6302251041250
736406245420
oct10227076476
92776872483
101113357630
11521509080
12270a40226
131498798c8
14a7c18810
1567b23b20
hex425c7d3e

1113357630 has 128 divisors (see below), whose sum is σ = 3506872320. Its totient is φ = 219162240.

The previous prime is 1113357571. The next prime is 1113357673. The reversal of 1113357630 is 367533111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 31207 + ... + 56573.

It is an arithmetic number, because the mean of its divisors is an integer number (27397440).

Almost surely, 21113357630 is an apocalyptic number.

1113357630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113357630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753436160).

1113357630 is an abundant number, since it is smaller than the sum of its proper divisors (2393514690).

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

1113357630 is a wasteful number, since it uses less digits than its factorization.

1113357630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25414.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 1113357630 is about 33367.0141007553. The cubic root of 1113357630 is about 1036.4417443789.

The spelling of 1113357630 in words is "one billion, one hundred thirteen million, three hundred fifty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 19 21 22 30 33 35 38 42 55 57 66 70 77 95 105 110 114 133 154 165 190 209 210 231 266 285 330 385 399 418 462 570 627 665 770 798 1045 1155 1254 1330 1463 1995 2090 2310 2926 3135 3990 4389 6270 7315 8778 14630 21945 25367 43890 50734 76101 126835 152202 177569 253670 279037 355138 380505 481973 532707 558074 761010 837111 887845 963946 1065414 1395185 1445919 1674222 1775690 1953259 2409865 2663535 2790370 2891838 3373811 3906518 4185555 4819730 5301703 5327070 5859777 6747622 7229595 8371110 9766295 10121433 10603406 11719554 14459190 15905109 16869055 19532590 20242866 26508515 29298885 31810218 33738110 37111921 50607165 53017030 58597770 74223842 79525545 101214330 111335763 159051090 185559605 222671526 371119210 556678815 1113357630