Search a number
-
+
1110042420 = 2235314313879
BaseRepresentation
bin100001000101001…
…1110011100110100
32212100201222221020
41002022132130310
54233132324140
6302052021140
736336130164
oct10212363464
92770658836
101110042420
1151a654333
1226b9017b0
13148c88946
14a75d45a4
15676bb6d0
hex4229e734

1110042420 has 96 divisors (see below), whose sum is σ = 3283230720. Its totient is φ = 279780480.

The previous prime is 1110042403. The next prime is 1110042473. The reversal of 1110042420 is 242400111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1110042420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73041 + ... + 86919.

It is an arithmetic number, because the mean of its divisors is an integer number (34200320).

Almost surely, 21110042420 is an apocalyptic number.

1110042420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641615360).

1110042420 is an abundant number, since it is smaller than the sum of its proper divisors (2173188300).

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

1110042420 is a wasteful number, since it uses less digits than its factorization.

1110042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13965 (or 13963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1110042420 is about 33317.2991102220. The cubic root of 1110042420 is about 1035.4119949553.

Adding to 1110042420 its reverse (242400111), we get a palindrome (1352442531).

The spelling of 1110042420 in words is "one billion, one hundred ten million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 43 60 62 86 93 124 129 155 172 186 215 258 310 372 430 465 516 620 645 860 930 1290 1333 1860 2580 2666 3999 5332 6665 7998 13330 13879 15996 19995 26660 27758 39990 41637 55516 69395 79980 83274 138790 166548 208185 277580 416370 430249 596797 832740 860498 1193594 1290747 1720996 1790391 2151245 2387188 2581494 2983985 3580782 4302490 5162988 5967970 6453735 7161564 8604980 8951955 11935940 12907470 17903910 18500707 25814940 35807820 37001414 55502121 74002828 92503535 111004242 185007070 222008484 277510605 370014140 555021210 1110042420