Search a number
-
+
1112419600 = 245219197743
BaseRepresentation
bin100001001001110…
…0010110100010000
32212112012202210221
41002103202310100
54234234411400
6302215002424
736365260555
oct10223426420
92775182727
101112419600
11520a28346
12270669414
1314960b966
14a7a52a2c
15679dac1a
hex424e2d10

1112419600 has 120 divisors (see below), whose sum is σ = 2831336640. Its totient is φ = 418844160.

The previous prime is 1112419549. The next prime is 1112419601. The reversal of 1112419600 is 69142111.

It is a super-3 number, since 3×11124196003 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1112419601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1496829 + ... + 1497571.

It is an arithmetic number, because the mean of its divisors is an integer number (23594472).

Almost surely, 21112419600 is an apocalyptic number.

1112419600 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 1112419600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415668320).

1112419600 is an abundant number, since it is smaller than the sum of its proper divisors (1718917040).

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

1112419600 is a wasteful number, since it uses less digits than its factorization.

1112419600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1112419600 is about 33352.9548915834. The cubic root of 1112419600 is about 1036.1505870757.

The spelling of 1112419600 in words is "one billion, one hundred twelve million, four hundred nineteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 197 200 304 380 394 400 475 743 760 788 950 985 1486 1520 1576 1900 1970 2972 3152 3715 3743 3800 3940 4925 5944 7430 7486 7600 7880 9850 11888 14117 14860 14972 15760 18575 18715 19700 28234 29720 29944 37150 37430 39400 56468 59440 59888 70585 74300 74860 78800 93575 112936 141170 146371 148600 149720 187150 225872 282340 292742 297200 299440 352925 374300 564680 585484 705850 731855 748600 1129360 1170968 1411700 1463710 1497200 2341936 2781049 2823400 2927420 3659275 5562098 5646800 5854840 7318550 11124196 11709680 13905245 14637100 22248392 27810490 29274200 44496784 55620980 58548400 69526225 111241960 139052450 222483920 278104900 556209800 1112419600