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26741430 = 2325417247
BaseRepresentation
bin110011000000…
…0101010110110
31212022121100100
41212000222312
523321211210
62353054530
7443204232
oct146005266
955277310
1026741430
1114105261
128b57446
135703a41
1437a15c2
1525335c0
hex1980ab6

26741430 has 48 divisors (see below), whose sum is σ = 71233344. Its totient is φ = 6956160.

The previous prime is 26741413. The next prime is 26741431. The reversal of 26741430 is 3414762.

It is a junction number, because it is equal to n+sod(n) for n = 26741394 and 26741403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26741431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67 + ... + 7313.

It is an arithmetic number, because the mean of its divisors is an integer number (1484028).

Almost surely, 226741430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26741430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35616672).

26741430 is an abundant number, since it is smaller than the sum of its proper divisors (44491914).

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

26741430 is a wasteful number, since it uses less digits than its factorization.

26741430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26741430 is about 5171.2116568557. The cubic root of 26741430 is about 299.0392598791.

The spelling of 26741430 in words is "twenty-six million, seven hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 7247 14494 21741 36235 43482 65223 72470 108705 130446 217410 297127 326115 594254 652230 891381 1485635 1782762 2674143 2971270 4456905 5348286 8913810 13370715 26741430