Search a number
-
+
26612140 = 22517292699
BaseRepresentation
bin110010110000…
…1000110101100
31212002000222211
41211201012230
523303042030
62350220204
7442125262
oct145410654
955060884
1026612140
1114027105
128ab4664
135689c39
14376a432
15250a12a
hex19611ac

26612140 has 48 divisors (see below), whose sum is σ = 61236000. Its totient is φ = 9669632.

The previous prime is 26612137. The next prime is 26612143. The reversal of 26612140 is 4121662.

It is an interprime number because it is at equal distance from previous prime (26612137) and next prime (26612143).

It is not an unprimeable number, because it can be changed into a prime (26612143) 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 15 ways as a sum of consecutive naturals, for example, 8511 + ... + 11209.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 226612140 is an apocalyptic number.

26612140 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 26612140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30618000).

26612140 is an abundant number, since it is smaller than the sum of its proper divisors (34623860).

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

26612140 is a wasteful number, since it uses less digits than its factorization.

26612140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 26612140 is about 5158.6955715568. The cubic root of 26612140 is about 298.5565474361.

The spelling of 26612140 in words is "twenty-six million, six hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 2699 4930 5398 9860 10796 13495 26990 45883 53980 78271 91766 156542 183532 229415 313084 391355 458830 782710 917660 1330607 1565420 2661214 5322428 6653035 13306070 26612140