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20746440 = 233251113231
BaseRepresentation
bin100111100100…
…1000011001000
31110001000202200
41033021003020
520302341230
62020400200
7341225151
oct117110310
943030680
1020746440
1110790120
126b46060
1343b5100
142a80928
151c4c160
hex13c90c8

20746440 has 288 divisors, whose sum is σ = 82218240. Its totient is φ = 4492800.

The previous prime is 20746421. The next prime is 20746441. The reversal of 20746440 is 4464702.

It is not an unprimeable number, because it can be changed into a prime (20746441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 669225 + ... + 669255.

It is an arithmetic number, because the mean of its divisors is an integer number (285480).

Almost surely, 220746440 is an apocalyptic number.

20746440 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 20746440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41109120).

20746440 is an abundant number, since it is smaller than the sum of its proper divisors (61471800).

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

20746440 is a wasteful number, since it uses less digits than its factorization.

20746440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 20746440 is about 4554.8260120448. The cubic root of 20746440 is about 274.7775170231. Note that the first 3 decimals are identical.

The spelling of 20746440 in words is "twenty million, seven hundred forty-six thousand, four hundred forty".