Search a number
-
+
89130320 = 2451765537
BaseRepresentation
bin1010101000000…
…00010101010000
320012201021210222
411110000111100
5140304132240
612502212212
72131411106
oct524002520
9205637728
1089130320
1146347a24
1225a24068
1315609146
14bba1c76
157c58eb5
hex5500550

89130320 has 40 divisors (see below), whose sum is σ = 219421224. Its totient is φ = 33554432.

The previous prime is 89130319. The next prime is 89130343. The reversal of 89130320 is 2303198.

It can be written as a sum of positive squares in 4 ways, for example, as 51036736 + 38093584 = 7144^2 + 6172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 89130320.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 89130320 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31409 + ... + 34128.

Almost surely, 289130320 is an apocalyptic number.

89130320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89130320 is an abundant number, since it is smaller than the sum of its proper divisors (130290904).

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

89130320 is a wasteful number, since it uses less digits than its factorization.

89130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65567 (or 65561 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 89130320 is about 9440.8855516842. The cubic root of 89130320 is about 446.6923229737.

The spelling of 89130320 in words is "eighty-nine million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 65537 131074 262148 327685 524296 655370 1048592 1114129 1310740 2228258 2621480 4456516 5242960 5570645 8913032 11141290 17826064 22282580 44565160 89130320