[go: up one dir, main page]

Search a number
-
+
26142960 = 2435108929
BaseRepresentation
bin110001110111…
…0100011110000
31211012012101210
41203232203300
523143033320
62332200120
7435132354
oct143564360
954165353
1026142960
1113836658
128909040
13555450c
143687464
1524660e0
hex18ee8f0

26142960 has 40 divisors (see below), whose sum is σ = 81043920. Its totient is φ = 6971392.

The previous prime is 26142937. The next prime is 26142997. The reversal of 26142960 is 6924162.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54225 + ... + 54704.

It is an arithmetic number, because the mean of its divisors is an integer number (2026098).

Almost surely, 226142960 is an apocalyptic number.

26142960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26142960 is an abundant number, since it is smaller than the sum of its proper divisors (54900960).

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

26142960 is a wasteful number, since it uses less digits than its factorization.

26142960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108945 (or 108939 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 26142960 is about 5113.0186778458. The cubic root of 26142960 is about 296.7915870550.

The spelling of 26142960 in words is "twenty-six million, one hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 108929 217858 326787 435716 544645 653574 871432 1089290 1307148 1633935 1742864 2178580 2614296 3267870 4357160 5228592 6535740 8714320 13071480 26142960