Search a number
-
+
889101120 = 26353725031
BaseRepresentation
bin110100111111101…
…001101101000000
32021222000000110010
4310333221231000
53310102213440
6224120304520
731014143355
oct6477515500
92258000403
10889101120
11416968916
12209912140
1311227b94b
148612062c
15530c7580
hex34fe9b40

889101120 has 112 divisors (see below), whose sum is σ = 2899306368. Its totient is φ = 230676480.

The previous prime is 889101107. The next prime is 889101151. The reversal of 889101120 is 21101988.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23005 + ... + 48035.

It is an arithmetic number, because the mean of its divisors is an integer number (25886664).

Almost surely, 2889101120 is an apocalyptic number.

889101120 is a gapful number since it is divisible by the number (80) 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 889101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449653184).

889101120 is an abundant number, since it is smaller than the sum of its proper divisors (2010205248).

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

889101120 is a wasteful number, since it uses less digits than its factorization.

889101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25088 (or 25078 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 889101120 is about 29817.7987115079. The cubic root of 889101120 is about 961.5762300061.

The spelling of 889101120 in words is "eight hundred eighty-nine million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 4440 5920 7104 8880 11840 17760 25031 35520 50062 75093 100124 125155 150186 200248 250310 300372 375465 400496 500620 600744 750930 800992 926147 1001240 1201488 1501860 1601984 1852294 2002480 2402976 2778441 3003720 3704588 4004960 4630735 4805952 5556882 6007440 7409176 8009920 9261470 11113764 12014880 13892205 14818352 18522940 22227528 24029760 27784410 29636704 37045880 44455056 55568820 59273408 74091760 88910112 111137640 148183520 177820224 222275280 296367040 444550560 889101120