Search a number
-
+
26530470 = 2335971013
BaseRepresentation
bin110010100110…
…1001010100110
31211220212222000
41211031022212
523242433340
62344350130
7441335211
oct145151246
954825860
1026530470
1113a8080a
128a75346
13565ba05
143748778
1524e0d30
hex194d2a6

26530470 has 64 divisors (see below), whose sum is σ = 71547840. Its totient is φ = 6994944.

The previous prime is 26530457. The next prime is 26530501. The reversal of 26530470 is 7403562.

It is a happy number.

26530470 is a `hidden beast` number, since 2 + 653 + 0 + 4 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25684 + ... + 26696.

It is an arithmetic number, because the mean of its divisors is an integer number (1117935).

Almost surely, 226530470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26530470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773920).

26530470 is an abundant number, since it is smaller than the sum of its proper divisors (45017370).

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

26530470 is a wasteful number, since it uses less digits than its factorization.

26530470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 26530470 is about 5150.7737282859. The cubic root of 26530470 is about 298.2508210651.

It can be divided in two parts, 26530 and 470, that added together give a cube (27000 = 303).

The spelling of 26530470 in words is "twenty-six million, five hundred thirty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 873 970 1013 1455 1746 2026 2619 2910 3039 4365 5065 5238 6078 8730 9117 10130 13095 15195 18234 26190 27351 30390 45585 54702 91170 98261 136755 196522 273510 294783 491305 589566 884349 982610 1473915 1768698 2653047 2947830 4421745 5306094 8843490 13265235 26530470