Search a number
-
+
89106680 = 23513349491
BaseRepresentation
bin1010100111110…
…10100011111000
320012200002101102
411103322203320
5140302403210
612501510532
72131252145
oct523724370
9205602342
1089106680
1146331193
1225a12448
13155cb460
14bb973cc
157c51ea5
hex54fa8f8

89106680 has 64 divisors (see below), whose sum is σ = 216972000. Its totient is φ = 32739840.

The previous prime is 89106671. The next prime is 89106709. The reversal of 89106680 is 8660198.

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, 181235 + ... + 181725.

Almost surely, 289106680 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 89106680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108486000).

89106680 is an abundant number, since it is smaller than the sum of its proper divisors (127865320).

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

89106680 is a wasteful number, since it uses less digits than its factorization.

89106680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 89106680 is about 9439.6334674605. The cubic root of 89106680 is about 446.6528274715.

The spelling of 89106680 in words is "eighty-nine million, one hundred six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 349 491 520 698 982 1396 1745 1964 2455 2792 3490 3928 4537 4910 6383 6980 9074 9820 12766 13960 18148 19640 22685 25532 31915 36296 45370 51064 63830 90740 127660 171359 181480 255320 342718 685436 856795 1370872 1713590 2227667 3427180 4455334 6854360 8910668 11138335 17821336 22276670 44553340 89106680