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26232920 = 2357194931
BaseRepresentation
bin110010000010…
…0100001011000
31211100202210122
41210010201120
523203423140
62334132412
7435655550
oct144044130
954322718
1026232920
11138981aa
128951108
13558644c
1436ac160
152482ab5
hex1904858

26232920 has 64 divisors (see below), whose sum is σ = 71020800. Its totient is φ = 8519040.

The previous prime is 26232919. The next prime is 26232923. The reversal of 26232920 is 2923262.

It is a self number, because there is not a number n which added to its sum of digits gives 26232920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26232923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2855 + ... + 7785.

It is an arithmetic number, because the mean of its divisors is an integer number (1109700).

Almost surely, 226232920 is an apocalyptic number.

26232920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26232920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35510400).

26232920 is an abundant number, since it is smaller than the sum of its proper divisors (44787880).

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

26232920 is a wasteful number, since it uses less digits than its factorization.

26232920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 26232920 is about 5121.8082744281. The cubic root of 26232920 is about 297.1316251214.

The spelling of 26232920 in words is "twenty-six million, two hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 4931 5320 9862 19724 24655 34517 39448 49310 69034 93689 98620 138068 172585 187378 197240 276136 345170 374756 468445 655823 690340 749512 936890 1311646 1380680 1873780 2623292 3279115 3747560 5246584 6558230 13116460 26232920