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26430820 = 22513591723
BaseRepresentation
bin110010011010…
…0110101100100
31211201211021021
41210310311210
523231241240
62342300524
7440441533
oct144646544
954654237
1026430820
1113a12959
128a27744
135625550
14372031a
1524c154a
hex1934d64

26430820 has 48 divisors (see below), whose sum is σ = 60822720. Its totient is φ = 9588096.

The previous prime is 26430809. The next prime is 26430823. The reversal of 26430820 is 2803462.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26430823) 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, 14479 + ... + 16201.

It is an arithmetic number, because the mean of its divisors is an integer number (1267140).

Almost surely, 226430820 is an apocalyptic number.

26430820 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 26430820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30411360).

26430820 is an abundant number, since it is smaller than the sum of its proper divisors (34391900).

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

26430820 is a wasteful number, since it uses less digits than its factorization.

26430820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 26430820 is about 5141.0913238339. The cubic root of 26430820 is about 297.8769367094.

The spelling of 26430820 in words is "twenty-six million, four hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 767 1180 1534 1723 3068 3446 3835 6892 7670 8615 15340 17230 22399 34460 44798 89596 101657 111995 203314 223990 406628 447980 508285 1016570 1321541 2033140 2643082 5286164 6607705 13215410 26430820