Search a number
-
+
887889920 = 213553409
BaseRepresentation
bin110100111011000…
…010000000000000
32021212201110222212
4310323002000000
53304244434140
6224034321252
731000640231
oct6473020000
92255643885
10887889920
11416210925
12209429228
13111c46568
1485cc7088
1552e38765
hex34ec2000

887889920 has 112 divisors (see below), whose sum is σ = 2176317720. Its totient is φ = 347602944.

The previous prime is 887889859. The next prime is 887889943. The reversal of 887889920 is 29988788.

It can be written as a sum of positive squares in 4 ways, for example, as 878055424 + 9834496 = 29632^2 + 3136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 887889920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2170676 + ... + 2171084.

Almost surely, 2887889920 is an apocalyptic number.

887889920 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 887889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088158860).

887889920 is an abundant number, since it is smaller than the sum of its proper divisors (1288427800).

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

887889920 is an equidigital number, since it uses as much as digits as its factorization.

887889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 59.

The square root of 887889920 is about 29797.4817727942. The cubic root of 887889920 is about 961.1393879091.

The spelling of 887889920 in words is "eight hundred eighty-seven million, eight hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 409 424 512 530 640 818 848 1024 1060 1280 1636 1696 2045 2048 2120 2560 3272 3392 4090 4096 4240 5120 6544 6784 8180 8192 8480 10240 13088 13568 16360 16960 20480 21677 26176 27136 32720 33920 40960 43354 52352 54272 65440 67840 86708 104704 108385 108544 130880 135680 173416 209408 216770 217088 261760 271360 346832 418816 433540 434176 523520 542720 693664 837632 867080 1047040 1085440 1387328 1675264 1734160 2094080 2170880 2774656 3350528 3468320 4188160 5549312 6936640 8376320 11098624 13873280 16752640 22197248 27746560 44394496 55493120 88788992 110986240 177577984 221972480 443944960 887889920