Search a number
-
+
110030008 = 23113747719
BaseRepresentation
bin1101000111011…
…10110010111000
321200001002210111
412203232302320
5211131430013
614530154104
72504145124
oct643566270
9250032714
10110030008
11571221a0
1230a22934
1319a45c1a
1410882584
1599d673d
hex68eecb8

110030008 has 64 divisors (see below), whose sum is σ = 236390400. Its totient is φ = 47560320.

The previous prime is 110029981. The next prime is 110030009. The reversal of 110030008 is 800030011.

It is a self number, because there is not a number n which added to its sum of digits gives 110030008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110030009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152673 + ... + 153391.

It is an arithmetic number, because the mean of its divisors is an integer number (3693600).

Almost surely, 2110030008 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 110030008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118195200).

110030008 is an abundant number, since it is smaller than the sum of its proper divisors (126360392).

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

110030008 is a wasteful number, since it uses less digits than its factorization.

110030008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 110030008 is about 10489.5189594185. The cubic root of 110030008 is about 479.1855517228.

Adding to 110030008 its reverse (800030011), we get a palindrome (910060019).

The spelling of 110030008 in words is "one hundred ten million, thirty thousand, eight".

Divisors: 1 2 4 8 11 22 37 44 47 74 88 94 148 188 296 376 407 517 719 814 1034 1438 1628 1739 2068 2876 3256 3478 4136 5752 6956 7909 13912 15818 19129 26603 31636 33793 38258 53206 63272 67586 76516 106412 135172 153032 212824 270344 292633 371723 585266 743446 1170532 1250341 1486892 2341064 2500682 2973784 5001364 10002728 13753751 27507502 55015004 110030008