Search a number
-
+
1114820910 = 232579071951
BaseRepresentation
bin100001001110010…
…1101000100101110
32212200201202210100
41002130231010232
54240343232120
6302342251530
736424551510
oct10234550456
92780652710
101114820910
115223184a5
12271426ba6
13149c6c958
14a80b9bb0
1567d12490
hex4272d12e

1114820910 has 96 divisors (see below), whose sum is σ = 3317962752. Its totient is φ = 254404800.

The previous prime is 1114820867. The next prime is 1114820947. The reversal of 1114820910 is 190284111.

It is a super-2 number, since 2×11148209102 = 2485651322746456200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570435 + ... + 572385.

It is an arithmetic number, because the mean of its divisors is an integer number (34562112).

Almost surely, 21114820910 is an apocalyptic number.

1114820910 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 1114820910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658981376).

1114820910 is an abundant number, since it is smaller than the sum of its proper divisors (2203141842).

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

1114820910 is a wasteful number, since it uses less digits than its factorization.

1114820910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1114820910 is about 33388.9339452460. The cubic root of 1114820910 is about 1036.8956088868.

The spelling of 1114820910 in words is "one billion, one hundred fourteen million, eight hundred twenty thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 907 1814 1951 2721 3902 4535 5442 5853 6349 8163 9070 9755 11706 12698 13605 13657 16326 17559 19047 19510 27210 27314 29265 31745 35118 38094 40815 40971 57141 58530 63490 68285 81630 81942 87795 95235 114282 122913 136570 175590 190470 204855 245826 285705 409710 571410 614565 1229130 1769557 3539114 5308671 8847785 10617342 12386899 15926013 17695570 24773798 26543355 31852026 37160697 53086710 61934495 74321394 79630065 111482091 123868990 159260130 185803485 222964182 371606970 557410455 1114820910