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20406760 = 23511192441
BaseRepresentation
bin100110111011…
…0000111101000
31102101202210221
41031312013220
520211004020
62005215424
7335311633
oct115660750
942352727
1020406760
11105789a0
126a01574
1342c660a
1429d2c1a
151bd16aa
hex13761e8

20406760 has 64 divisors (see below), whose sum is σ = 52747200. Its totient is φ = 7027200.

The previous prime is 20406697. The next prime is 20406767. The reversal of 20406760 is 6760402.

It is not an unprimeable number, because it can be changed into a prime (20406767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7140 + ... + 9580.

It is an arithmetic number, because the mean of its divisors is an integer number (824175).

Almost surely, 220406760 is an apocalyptic number.

20406760 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 20406760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26373600).

20406760 is an abundant number, since it is smaller than the sum of its proper divisors (32340440).

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

20406760 is a wasteful number, since it uses less digits than its factorization.

20406760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 20406760 is about 4517.3841988478. The cubic root of 20406760 is about 273.2696196264.

The spelling of 20406760 in words is "twenty million, four hundred six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 2441 4180 4882 8360 9764 12205 19528 24410 26851 46379 48820 53702 92758 97640 107404 134255 185516 214808 231895 268510 371032 463790 510169 537020 927580 1020338 1074040 1855160 2040676 2550845 4081352 5101690 10203380 20406760