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26216680 = 2357109859
BaseRepresentation
bin110010000000…
…0100011101000
31211022221112011
41210000203220
523202413210
62333525304
7435560320
oct144004350
954287464
1026216680
1113886a86
128943834
13557bc39
1436a6280
15247cd8a
hex19008e8

26216680 has 64 divisors (see below), whose sum is σ = 68112000. Its totient is φ = 8895744.

The previous prime is 26216677. The next prime is 26216681. The reversal of 26216680 is 8661262.

It is not an unprimeable number, because it can be changed into a prime (26216681) 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, 30091 + ... + 30949.

It is an arithmetic number, because the mean of its divisors is an integer number (1064250).

Almost surely, 226216680 is an apocalyptic number.

26216680 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 26216680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34056000).

26216680 is an abundant number, since it is smaller than the sum of its proper divisors (41895320).

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

26216680 is a wasteful number, since it uses less digits than its factorization.

26216680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 26216680 is about 5120.2226514088. Note that the first 3 decimals coincide. The cubic root of 26216680 is about 297.0702974246.

It can be divided in two parts, 26216 and 680, that added together give a square (26896 = 1642).

The spelling of 26216680 in words is "twenty-six million, two hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 436 545 763 859 872 1090 1526 1718 2180 3052 3436 3815 4295 4360 6013 6104 6872 7630 8590 12026 15260 17180 24052 30065 30520 34360 48104 60130 93631 120260 187262 240520 374524 468155 655417 749048 936310 1310834 1872620 2621668 3277085 3745240 5243336 6554170 13108340 26216680