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26982420 = 22351273541
BaseRepresentation
bin110011011101…
…1100000010100
31212202211220220
41212323200110
523401414140
62402154340
7445226643
oct146734024
955684826
1026982420
111425a323
1290529b0
13578963a
14382535a
15257ebd0
hex19bb814

26982420 has 48 divisors (see below), whose sum is σ = 76167168. Its totient is φ = 7136640.

The previous prime is 26982419. The next prime is 26982433. The reversal of 26982420 is 2428962.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5850 + ... + 9390.

It is an arithmetic number, because the mean of its divisors is an integer number (1586816).

Almost surely, 226982420 is an apocalyptic number.

26982420 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 26982420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38083584).

26982420 is an abundant number, since it is smaller than the sum of its proper divisors (49184748).

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

26982420 is a wasteful number, since it uses less digits than its factorization.

26982420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 26982420 is about 5194.4605109674. The cubic root of 26982420 is about 299.9348747523.

The spelling of 26982420 in words is "twenty-six million, nine hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3541 3810 7082 7620 10623 14164 17705 21246 35410 42492 53115 70820 106230 212460 449707 899414 1349121 1798828 2248535 2698242 4497070 5396484 6745605 8994140 13491210 26982420