Search a number
-
+
10889370 = 2335311301
BaseRepresentation
bin101001100010…
…100010011010
3202111020102000
4221202202122
510241424440
61025221430
7161362302
oct51424232
922436360
1010889370
116168388
123791876
13234361b
141636602
15e51730
hexa6289a

10889370 has 64 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 2808000.

The previous prime is 10889357. The next prime is 10889371. The reversal of 10889370 is 7398801.

10889370 is nontrivially palindromic in base 4.

It is not an unprimeable number, because it can be changed into a prime (10889371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7720 + ... + 9020.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 210889370 is an apocalyptic number.

10889370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10889370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

10889370 is an abundant number, since it is smaller than the sum of its proper divisors (19108710).

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

10889370 is a wasteful number, since it uses less digits than its factorization.

10889370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10889370 is about 3299.9045440740. The cubic root of 10889370 is about 221.6499230448.

The spelling of 10889370 in words is "ten million, eight hundred eighty-nine thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1301 1395 1674 2602 2790 3903 4185 6505 7806 8370 11709 13010 19515 23418 35127 39030 40331 58545 70254 80662 117090 120993 175635 201655 241986 351270 362979 403310 604965 725958 1088937 1209930 1814895 2177874 3629790 5444685 10889370